Simplify 462/708 to Lowest Terms
462/708 simplified to its lowest terms is 77/118 (or 0.652542 in decimal). See how to reduce 462/708 using Greatest Common Divisor (GCD = 6).
Exact Answer
462/708 = 77/118
Simplified Fraction
77/118
Mixed Number
Proper (77/118)
Decimal Value
0.652542
Percentage
65.2542%
Step-by-Step Solution: 462/708 = 77/118
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 462:
โข Factors of 708:
โข Factors of 462:
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462โข Factors of 708:
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD(462, 708) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (462) and denominator (708) by 6.
462 รท 6/708 รท 6 = 77/118
Visual Representation
The diagram below illustrates Simplify 462/708 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 77/118 |
| Mixed Number Form | 77/118 |
| Decimal Form | 0.652542 |
| Percentage | 65.2542% |
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Frequently Asked Questions
What is 462/708 in simplest form?
462/708 simplified to lowest terms is 77/118.
What is the GCD (GCF) of 462 and 708?
The Greatest Common Divisor (GCD) of 462 and 708 is 6.
What are equivalent fractions to 462/708?
Equivalent fractions to 462/708 include 154/236, 231/354, and 308/472.