What is 364/1344 Simplified? (Reduce 364/1344 to Lowest Terms: 13/48)

Exact Answer

364/1344 = 13/48

Simplified Fraction

13/48

Mixed Number

Proper (13/48)

Decimal Value

0.270833

Percentage

27.0833%

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Step-by-Step Solution: 364/1344 = 13/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48

GCD(364, 1344) = 28

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 28. Divide both the numerator (364) and denominator (1344) by 28.

364 ÷ 28/1344 ÷ 28 = 13/48

Visual Representation

The diagram below illustrates Simplify 364/1344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/48`
Mixed Number Form	`13/48`
Decimal Form	`0.270833`
Percentage	`27.0833%`

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Frequently Asked Questions

What is 364/1344 in simplest form?

364/1344 simplified to lowest terms is 13/48.

What is the GCD (GCF) of 364 and 1344?

The Greatest Common Divisor (GCD) of 364 and 1344 is 28.

What are equivalent fractions to 364/1344?

Equivalent fractions to 364/1344 include 26/96, 39/144, and 52/192.