Simplify 262/360 to Lowest Terms
262/360 simplified to its lowest terms is 131/180 (or 0.727778 in decimal). See how to reduce 262/360 using Greatest Common Divisor (GCD = 2).
Exact Answer
262/360 = 131/180
Simplified Fraction
131/180
Mixed Number
Proper (131/180)
Decimal Value
0.727778
Percentage
72.7778%
Step-by-Step Solution: 262/360 = 131/180
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 262:
• Factors of 360:
• Factors of 262:
1, 2, 131, 262• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(262, 360) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (262) and denominator (360) by 2.
262 ÷ 2/360 ÷ 2 = 131/180
Visual Representation
The diagram below illustrates Simplify 262/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 131/180 |
| Mixed Number Form | 131/180 |
| Decimal Form | 0.727778 |
| Percentage | 72.7778% |
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Frequently Asked Questions
What is 262/360 in simplest form?
262/360 simplified to lowest terms is 131/180.
What is the GCD (GCF) of 262 and 360?
The Greatest Common Divisor (GCD) of 262 and 360 is 2.
What are equivalent fractions to 262/360?
Equivalent fractions to 262/360 include 262/360, 393/540, and 524/720.