Simplify 462/1608 to Lowest Terms
462/1608 simplified to its lowest terms is 77/268 (or 0.287313 in decimal). See how to reduce 462/1608 using Greatest Common Divisor (GCD = 6).
Exact Answer
462/1608 = 77/268
Simplified Fraction
77/268
Mixed Number
Proper (77/268)
Decimal Value
0.287313
Percentage
28.7313%
Step-by-Step Solution: 462/1608 = 77/268
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 462:
• Factors of 1608:
• Factors of 462:
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462• Factors of 1608:
1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
GCD(462, 1608) = 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 (1608) by 6.
462 ÷ 6/1608 ÷ 6 = 77/268
Visual Representation
The diagram below illustrates Simplify 462/1608 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 77/268 |
| Mixed Number Form | 77/268 |
| Decimal Form | 0.287313 |
| Percentage | 28.7313% |
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Frequently Asked Questions
What is 462/1608 in simplest form?
462/1608 simplified to lowest terms is 77/268.
What is the GCD (GCF) of 462 and 1608?
The Greatest Common Divisor (GCD) of 462 and 1608 is 6.
What are equivalent fractions to 462/1608?
Equivalent fractions to 462/1608 include 154/536, 231/804, and 308/1072.