What is 364/840 Simplified? (Reduce 364/840 to Lowest Terms: 13/30)

Exact Answer

364/840 = 13/30

Simplified Fraction

13/30

Mixed Number

Proper (13/30)

Decimal Value

0.433333

Percentage

43.3333%

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Step-by-Step Solution: 364/840 = 13/30

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 840: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28

GCD(364, 840) = 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 (840) by 28.

364 ÷ 28/840 ÷ 28 = 13/30

Visual Representation

The diagram below illustrates Simplify 364/840 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/30`
Mixed Number Form	`13/30`
Decimal Form	`0.433333`
Percentage	`43.3333%`

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Frequently Asked Questions

What is 364/840 in simplest form?

364/840 simplified to lowest terms is 13/30.

What is the GCD (GCF) of 364 and 840?

The Greatest Common Divisor (GCD) of 364 and 840 is 28.

What are equivalent fractions to 364/840?

Equivalent fractions to 364/840 include 26/60, 39/90, and 52/120.