What is 560/364 Simplified? (Reduce 560/364 to Lowest Terms: 20/13)

Exact Answer

==================================================
Problem: Simplify 560/364 to Lowest Terms
Formula / Expression: 560/364 = 20/13
Final Answer: 1 7/13 (20/13)
==================================================

Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 560: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Working: GCD(560, 364) = 28

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 28. Divide both the numerator (560) and denominator (364) by 28.
Working: 560 ÷ 28/364 ÷ 28 = 20/13

Step 3: Convert Improper Fraction to a Mixed Number
Because 20 is larger than 13, 20/13 can also be written as the mixed number 1 7/13.
Working: 20/13 = 1 7/13

Key Values:
- Simplified Fraction: 20/13
- Mixed Number Form: 1 7/13
- Decimal Value: 1.538462
- Percentage: 153.8462%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/simplify-560-364/
==================================================

560/364 = 20/13

Simplified Fraction

20/13

Mixed Number

1 7/13

Decimal Value

1.538462

Percentage

153.8462%

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: 560/364 = 20/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 560: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD(560, 364) = 28

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 28. Divide both the numerator (560) and denominator (364) by 28.

560 ÷ 28/364 ÷ 28 = 20/13

Step 3

Convert Improper Fraction to a Mixed Number

Because 20 is larger than 13, 20/13 can also be written as the mixed number 1 7/13.

20/13 = 17/13

Visual Representation

The diagram below illustrates Simplify 560/364 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/13`
Mixed Number Form	`1 7/13`
Decimal Form	`1.538462`
Percentage	`153.8462%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 560/364 in simplest form?

560/364 simplified to lowest terms is 20/13.

What is the GCD (GCF) of 560 and 364?

The Greatest Common Divisor (GCD) of 560 and 364 is 28.

What are equivalent fractions to 560/364?

Equivalent fractions to 560/364 include 40/26, 60/39, and 80/52.