What is 704/420 Simplified? (Reduce 704/420 to Lowest Terms: 176/105)

Exact Answer

==================================================
Problem: Simplify 704/420 to Lowest Terms
Formula / Expression: 704/420 = 176/105
Final Answer: 1 71/105 (176/105)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
Working: GCD(704, 420) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (704) and denominator (420) by 4.
Working: 704 ÷ 4/420 ÷ 4 = 176/105

Step 3: Convert Improper Fraction to a Mixed Number
Because 176 is larger than 105, 176/105 can also be written as the mixed number 1 71/105.
Working: 176/105 = 1 71/105

Key Values:
- Simplified Fraction: 176/105
- Mixed Number Form: 1 71/105
- Decimal Value: 1.67619
- Percentage: 167.619%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-704-420/
==================================================

704/420 = 176/105

Simplified Fraction

176/105

Mixed Number

1 71/105

Decimal Value

1.67619

Percentage

167.619%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 704/420 = 176/105

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 704: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(704, 420) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (704) and denominator (420) by 4.

704 ÷ 4/420 ÷ 4 = 176/105

Step 3

Convert Improper Fraction to a Mixed Number

Because 176 is larger than 105, 176/105 can also be written as the mixed number 1 71/105.

176/105 = 171/105

Visual Representation

The diagram below illustrates Simplify 704/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`176/105`
Mixed Number Form	`1 71/105`
Decimal Form	`1.67619`
Percentage	`167.619%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 704/420 in simplest form?

704/420 simplified to lowest terms is 176/105.

What is the GCD (GCF) of 704 and 420?

The Greatest Common Divisor (GCD) of 704 and 420 is 4.

What are equivalent fractions to 704/420?

Equivalent fractions to 704/420 include 352/210, 528/315, and 704/420.