Simplify 464/742 to Lowest Terms
464/742 simplified to its lowest terms is 232/371 (or 0.625337 in decimal). See how to reduce 464/742 using Greatest Common Divisor (GCD = 2).
Exact Answer
464/742 = 232/371
Simplified Fraction
232/371
Mixed Number
Proper (232/371)
Decimal Value
0.625337
Percentage
62.5337%
Step-by-Step Solution: 464/742 = 232/371
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 464:
• Factors of 742:
• Factors of 464:
1, 2, 4, 8, 16, 29, 58, 116, 232, 464• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742
GCD(464, 742) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (464) and denominator (742) by 2.
464 ÷ 2/742 ÷ 2 = 232/371
Visual Representation
The diagram below illustrates Simplify 464/742 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 232/371 |
| Mixed Number Form | 232/371 |
| Decimal Form | 0.625337 |
| Percentage | 62.5337% |
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Frequently Asked Questions
What is 464/742 in simplest form?
464/742 simplified to lowest terms is 232/371.
What is the GCD (GCF) of 464 and 742?
The Greatest Common Divisor (GCD) of 464 and 742 is 2.
What are equivalent fractions to 464/742?
Equivalent fractions to 464/742 include 464/742, 696/1113, and 928/1484.