What is 1072/1052 Simplified? (Reduce 1072/1052 to Lowest Terms: 268/263)

Exact Answer

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Problem: Simplify 1072/1052 to Lowest Terms
Formula / Expression: 1072/1052 = 268/263
Final Answer: 1 5/263 (268/263)
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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 1052: 1, 2, 4, 263, 526, 1052
Working: GCD(1072, 1052) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1072) and denominator (1052) by 4.
Working: 1072 ÷ 4/1052 ÷ 4 = 268/263

Step 3: Convert Improper Fraction to a Mixed Number
Because 268 is larger than 263, 268/263 can also be written as the mixed number 1 5/263.
Working: 268/263 = 1 5/263

Key Values:
- Simplified Fraction: 268/263
- Mixed Number Form: 1 5/263
- Decimal Value: 1.019011
- Percentage: 101.9011%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1072-1052/
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1072/1052 = 268/263

Simplified Fraction

268/263

Mixed Number

1 5/263

Decimal Value

1.019011

Percentage

101.9011%

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Step-by-Step Solution: 1072/1052 = 268/263

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 1052: 1, 2, 4, 263, 526, 1052

GCD(1072, 1052) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1072) and denominator (1052) by 4.

1072 ÷ 4/1052 ÷ 4 = 268/263

Step 3

Convert Improper Fraction to a Mixed Number

Because 268 is larger than 263, 268/263 can also be written as the mixed number 1 5/263.

268/263 = 15/263

Visual Representation

The diagram below illustrates Simplify 1072/1052 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`268/263`
Mixed Number Form	`1 5/263`
Decimal Form	`1.019011`
Percentage	`101.9011%`

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Frequently Asked Questions

What is 1072/1052 in simplest form?

1072/1052 simplified to lowest terms is 268/263.

What is the GCD (GCF) of 1072 and 1052?

The Greatest Common Divisor (GCD) of 1072 and 1052 is 4.

What are equivalent fractions to 1072/1052?

Equivalent fractions to 1072/1052 include 536/526, 804/789, and 1072/1052.