What is 1072/1180 Simplified? (Reduce 1072/1180 to Lowest Terms: 268/295)

Exact Answer

1072/1180 = 268/295

Simplified Fraction

268/295

Mixed Number

Proper (268/295)

Decimal Value

0.908475

Percentage

90.8475%

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Step-by-Step Solution: 1072/1180 = 268/295

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 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

GCD(1072, 1180) = 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 (1180) by 4.

1072 ÷ 4/1180 ÷ 4 = 268/295

Visual Representation

The diagram below illustrates Simplify 1072/1180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`268/295`
Mixed Number Form	`268/295`
Decimal Form	`0.908475`
Percentage	`90.8475%`

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Frequently Asked Questions

What is 1072/1180 in simplest form?

1072/1180 simplified to lowest terms is 268/295.

What is the GCD (GCF) of 1072 and 1180?

The Greatest Common Divisor (GCD) of 1072 and 1180 is 4.

What are equivalent fractions to 1072/1180?

Equivalent fractions to 1072/1180 include 536/590, 804/885, and 1072/1180.