What is 1072/1672 Simplified? (Reduce 1072/1672 to Lowest Terms: 134/209)

Exact Answer

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Problem: Simplify 1072/1672 to Lowest Terms
Formula / Expression: 1072/1672 = 134/209
Final Answer: 134/209
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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 1072: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
• Factors of 1672: 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
Working: GCD(1072, 1672) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1072) and denominator (1672) by 8.
Working: 1072 ÷ 8/1672 ÷ 8 = 134/209

Key Values:
- Simplified Fraction: 134/209
- Mixed Number Form: 134/209
- Decimal Value: 0.641148
- Percentage: 64.1148%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1072-1672/
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1072/1672 = 134/209

Simplified Fraction

134/209

Mixed Number

Proper (134/209)

Decimal Value

0.641148

Percentage

64.1148%

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Step-by-Step Solution: 1072/1672 = 134/209

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1072: 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
• Factors of 1672: 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672

GCD(1072, 1672) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1072) and denominator (1672) by 8.

1072 ÷ 8/1672 ÷ 8 = 134/209

Visual Representation

The diagram below illustrates Simplify 1072/1672 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`134/209`
Mixed Number Form	`134/209`
Decimal Form	`0.641148`
Percentage	`64.1148%`

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Frequently Asked Questions

What is 1072/1672 in simplest form?

1072/1672 simplified to lowest terms is 134/209.

What is the GCD (GCF) of 1072 and 1672?

The Greatest Common Divisor (GCD) of 1072 and 1672 is 8.

What are equivalent fractions to 1072/1672?

Equivalent fractions to 1072/1672 include 268/418, 402/627, and 536/836.