Simplify 290/464 to Lowest Terms
290/464 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 290/464 using Greatest Common Divisor (GCD = 58).
Exact Answer
290/464 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 290/464 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 290:
• Factors of 464:
• Factors of 290:
1, 2, 5, 10, 29, 58, 145, 290• Factors of 464:
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD(290, 464) = 58
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 58. Divide both the numerator (290) and denominator (464) by 58.
290 ÷ 58/464 ÷ 58 = 5/8
Visual Representation
The diagram below illustrates Simplify 290/464 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 290/464 in simplest form?
290/464 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 290 and 464?
The Greatest Common Divisor (GCD) of 290 and 464 is 58.
What are equivalent fractions to 290/464?
Equivalent fractions to 290/464 include 10/16, 15/24, and 20/32.