What is 1344/1072 Simplified? (Reduce 1344/1072 to Lowest Terms: 84/67)

Exact Answer

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Problem: Simplify 1344/1072 to Lowest Terms
Formula / Expression: 1344/1072 = 84/67
Final Answer: 1 17/67 (84/67)
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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 1072: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
Working: GCD(1344, 1072) = 16

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1344) and denominator (1072) by 16.
Working: 1344 ÷ 16/1072 ÷ 16 = 84/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 84 is larger than 67, 84/67 can also be written as the mixed number 1 17/67.
Working: 84/67 = 1 17/67

Key Values:
- Simplified Fraction: 84/67
- Mixed Number Form: 1 17/67
- Decimal Value: 1.253731
- Percentage: 125.3731%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-1072/
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1344/1072 = 84/67

Simplified Fraction

84/67

Mixed Number

1 17/67

Decimal Value

1.253731

Percentage

125.3731%

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Step-by-Step Solution: 1344/1072 = 84/67

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 1072: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

GCD(1344, 1072) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1344) and denominator (1072) by 16.

1344 ÷ 16/1072 ÷ 16 = 84/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 84 is larger than 67, 84/67 can also be written as the mixed number 1 17/67.

84/67 = 117/67

Visual Representation

The diagram below illustrates Simplify 1344/1072 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`84/67`
Mixed Number Form	`1 17/67`
Decimal Form	`1.253731`
Percentage	`125.3731%`

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Frequently Asked Questions

What is 1344/1072 in simplest form?

1344/1072 simplified to lowest terms is 84/67.

What is the GCD (GCF) of 1344 and 1072?

The Greatest Common Divisor (GCD) of 1344 and 1072 is 16.

What are equivalent fractions to 1344/1072?

Equivalent fractions to 1344/1072 include 168/134, 252/201, and 336/268.