Simplify 408/462 to Lowest Terms
408/462 simplified to its lowest terms is 68/77 (or 0.883117 in decimal). See how to reduce 408/462 using Greatest Common Divisor (GCD = 6).
Exact Answer
408/462 = 68/77
Simplified Fraction
68/77
Mixed Number
Proper (68/77)
Decimal Value
0.883117
Percentage
88.3117%
Step-by-Step Solution: 408/462 = 68/77
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 408:
• Factors of 462:
• Factors of 408:
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408• Factors of 462:
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD(408, 462) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (408) and denominator (462) by 6.
408 ÷ 6/462 ÷ 6 = 68/77
Visual Representation
The diagram below illustrates Simplify 408/462 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 68/77 |
| Mixed Number Form | 68/77 |
| Decimal Form | 0.883117 |
| Percentage | 88.3117% |
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Frequently Asked Questions
What is 408/462 in simplest form?
408/462 simplified to lowest terms is 68/77.
What is the GCD (GCF) of 408 and 462?
The Greatest Common Divisor (GCD) of 408 and 462 is 6.
What are equivalent fractions to 408/462?
Equivalent fractions to 408/462 include 136/154, 204/231, and 272/308.