What is 1344/1084 Simplified? (Reduce 1344/1084 to Lowest Terms: 336/271)

Exact Answer

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Problem: Simplify 1344/1084 to Lowest Terms
Formula / Expression: 1344/1084 = 336/271
Final Answer: 1 65/271 (336/271)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1084: 1, 2, 4, 271, 542, 1084
Working: GCD(1344, 1084) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1344) and denominator (1084) by 4.
Working: 1344 ÷ 4/1084 ÷ 4 = 336/271

Step 3: Convert Improper Fraction to a Mixed Number
Because 336 is larger than 271, 336/271 can also be written as the mixed number 1 65/271.
Working: 336/271 = 1 65/271

Key Values:
- Simplified Fraction: 336/271
- Mixed Number Form: 1 65/271
- Decimal Value: 1.239852
- Percentage: 123.9852%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-1084/
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1344/1084 = 336/271

Simplified Fraction

336/271

Mixed Number

1 65/271

Decimal Value

1.239852

Percentage

123.9852%

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Step-by-Step Solution: 1344/1084 = 336/271

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1084: 1, 2, 4, 271, 542, 1084

GCD(1344, 1084) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1344) and denominator (1084) by 4.

1344 ÷ 4/1084 ÷ 4 = 336/271

Step 3

Convert Improper Fraction to a Mixed Number

Because 336 is larger than 271, 336/271 can also be written as the mixed number 1 65/271.

336/271 = 165/271

Visual Representation

The diagram below illustrates Simplify 1344/1084 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`336/271`
Mixed Number Form	`1 65/271`
Decimal Form	`1.239852`
Percentage	`123.9852%`

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Frequently Asked Questions

What is 1344/1084 in simplest form?

1344/1084 simplified to lowest terms is 336/271.

What is the GCD (GCF) of 1344 and 1084?

The Greatest Common Divisor (GCD) of 1344 and 1084 is 4.

What are equivalent fractions to 1344/1084?

Equivalent fractions to 1344/1084 include 672/542, 1008/813, and 1344/1084.