Simplify 520/464 to Lowest Terms
520/464 simplified to its lowest terms is 65/58 (or 1.12069 in decimal). See how to reduce 520/464 using Greatest Common Divisor (GCD = 8).
Exact Answer
520/464 = 65/58
Simplified Fraction
65/58
Mixed Number
1 7/58
Decimal Value
1.12069
Percentage
112.069%
Step-by-Step Solution: 520/464 = 65/58
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 520:
• Factors of 464:
• Factors of 520:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520• Factors of 464:
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD(520, 464) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (520) and denominator (464) by 8.
520 ÷ 8/464 ÷ 8 = 65/58
Step 3
Convert Improper Fraction to a Mixed Number
Because 65 is larger than 58, 65/58 can also be written as the mixed number 1 7/58.
65/58 = 17/58
Visual Representation
The diagram below illustrates Simplify 520/464 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 65/58 |
| Mixed Number Form | 1 7/58 |
| Decimal Form | 1.12069 |
| Percentage | 112.069% |
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Frequently Asked Questions
What is 520/464 in simplest form?
520/464 simplified to lowest terms is 65/58.
What is the GCD (GCF) of 520 and 464?
The Greatest Common Divisor (GCD) of 520 and 464 is 8.
What are equivalent fractions to 520/464?
Equivalent fractions to 520/464 include 130/116, 195/174, and 260/232.