Simplify 174/464 to Lowest Terms
174/464 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 174/464 using Greatest Common Divisor (GCD = 58).
Exact Answer
174/464 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 174/464 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 174:
• Factors of 464:
• Factors of 174:
1, 2, 3, 6, 29, 58, 87, 174• Factors of 464:
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD(174, 464) = 58
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 58. Divide both the numerator (174) and denominator (464) by 58.
174 ÷ 58/464 ÷ 58 = 3/8
Visual Representation
The diagram below illustrates Simplify 174/464 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 174/464 in simplest form?
174/464 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 174 and 464?
The Greatest Common Divisor (GCD) of 174 and 464 is 58.
What are equivalent fractions to 174/464?
Equivalent fractions to 174/464 include 6/16, 9/24, and 12/32.