Simplify 72/262 to Lowest Terms
72/262 simplified to its lowest terms is 36/131 (or 0.274809 in decimal). See how to reduce 72/262 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/262 = 36/131
Simplified Fraction
36/131
Mixed Number
Proper (36/131)
Decimal Value
0.274809
Percentage
27.4809%
Step-by-Step Solution: 72/262 = 36/131
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 262:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 262:
1, 2, 131, 262
GCD(72, 262) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (262) by 2.
72 ÷ 2/262 ÷ 2 = 36/131
Visual Representation
The diagram below illustrates Simplify 72/262 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/131 |
| Mixed Number Form | 36/131 |
| Decimal Form | 0.274809 |
| Percentage | 27.4809% |
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Frequently Asked Questions
What is 72/262 in simplest form?
72/262 simplified to lowest terms is 36/131.
What is the GCD (GCF) of 72 and 262?
The Greatest Common Divisor (GCD) of 72 and 262 is 2.
What are equivalent fractions to 72/262?
Equivalent fractions to 72/262 include 72/262, 108/393, and 144/524.