Simplify 742/864 to Lowest Terms
742/864 simplified to its lowest terms is 371/432 (or 0.858796 in decimal). See how to reduce 742/864 using Greatest Common Divisor (GCD = 2).
Exact Answer
742/864 = 371/432
Simplified Fraction
371/432
Mixed Number
Proper (371/432)
Decimal Value
0.858796
Percentage
85.8796%
Step-by-Step Solution: 742/864 = 371/432
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 742:
• Factors of 864:
• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742• Factors of 864:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54
GCD(742, 864) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (864) by 2.
742 ÷ 2/864 ÷ 2 = 371/432
Visual Representation
The diagram below illustrates Simplify 742/864 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 371/432 |
| Mixed Number Form | 371/432 |
| Decimal Form | 0.858796 |
| Percentage | 85.8796% |
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Frequently Asked Questions
What is 742/864 in simplest form?
742/864 simplified to lowest terms is 371/432.
What is the GCD (GCF) of 742 and 864?
The Greatest Common Divisor (GCD) of 742 and 864 is 2.
What are equivalent fractions to 742/864?
Equivalent fractions to 742/864 include 742/864, 1113/1296, and 1484/1728.