Simplify 72/258 to Lowest Terms
72/258 simplified to its lowest terms is 12/43 (or 0.27907 in decimal). See how to reduce 72/258 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/258 = 12/43
Simplified Fraction
12/43
Mixed Number
Proper (12/43)
Decimal Value
0.27907
Percentage
27.907%
Step-by-Step Solution: 72/258 = 12/43
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 258:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 258:
1, 2, 3, 6, 43, 86, 129, 258
GCD(72, 258) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (258) by 6.
72 ÷ 6/258 ÷ 6 = 12/43
Visual Representation
The diagram below illustrates Simplify 72/258 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/43 |
| Mixed Number Form | 12/43 |
| Decimal Form | 0.27907 |
| Percentage | 27.907% |
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Frequently Asked Questions
What is 72/258 in simplest form?
72/258 simplified to lowest terms is 12/43.
What is the GCD (GCF) of 72 and 258?
The Greatest Common Divisor (GCD) of 72 and 258 is 6.
What are equivalent fractions to 72/258?
Equivalent fractions to 72/258 include 24/86, 36/129, and 48/172.