Simplify 462/704 to Lowest Terms
462/704 simplified to its lowest terms is 21/32 (or 0.65625 in decimal). See how to reduce 462/704 using Greatest Common Divisor (GCD = 22).
Exact Answer
462/704 = 21/32
Simplified Fraction
21/32
Mixed Number
Proper (21/32)
Decimal Value
0.65625
Percentage
65.625%
Step-by-Step Solution: 462/704 = 21/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 462:
• Factors of 704:
• Factors of 462:
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD(462, 704) = 22
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 22. Divide both the numerator (462) and denominator (704) by 22.
462 ÷ 22/704 ÷ 22 = 21/32
Visual Representation
The diagram below illustrates Simplify 462/704 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/32 |
| Mixed Number Form | 21/32 |
| Decimal Form | 0.65625 |
| Percentage | 65.625% |
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Frequently Asked Questions
What is 462/704 in simplest form?
462/704 simplified to lowest terms is 21/32.
What is the GCD (GCF) of 462 and 704?
The Greatest Common Divisor (GCD) of 462 and 704 is 22.
What are equivalent fractions to 462/704?
Equivalent fractions to 462/704 include 42/64, 63/96, and 84/128.