Simplify 524/464 to Lowest Terms
524/464 simplified to its lowest terms is 131/116 (or 1.12931 in decimal). See how to reduce 524/464 using Greatest Common Divisor (GCD = 4).
Exact Answer
524/464 = 131/116
Simplified Fraction
131/116
Mixed Number
1 15/116
Decimal Value
1.12931
Percentage
112.931%
Step-by-Step Solution: 524/464 = 131/116
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 524:
• Factors of 464:
• Factors of 524:
1, 2, 4, 131, 262, 524• Factors of 464:
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD(524, 464) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (524) and denominator (464) by 4.
524 ÷ 4/464 ÷ 4 = 131/116
Step 3
Convert Improper Fraction to a Mixed Number
Because 131 is larger than 116, 131/116 can also be written as the mixed number 1 15/116.
131/116 = 115/116
Visual Representation
The diagram below illustrates Simplify 524/464 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 131/116 |
| Mixed Number Form | 1 15/116 |
| Decimal Form | 1.12931 |
| Percentage | 112.931% |
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Frequently Asked Questions
What is 524/464 in simplest form?
524/464 simplified to lowest terms is 131/116.
What is the GCD (GCF) of 524 and 464?
The Greatest Common Divisor (GCD) of 524 and 464 is 4.
What are equivalent fractions to 524/464?
Equivalent fractions to 524/464 include 262/232, 393/348, and 524/464.