Simplify 72/342 to Lowest Terms
72/342 simplified to its lowest terms is 4/19 (or 0.210526 in decimal). See how to reduce 72/342 using Greatest Common Divisor (GCD = 18).
Exact Answer
72/342 = 4/19
Simplified Fraction
4/19
Mixed Number
Proper (4/19)
Decimal Value
0.210526
Percentage
21.0526%
Step-by-Step Solution: 72/342 = 4/19
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 342:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 342:
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD(72, 342) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (72) and denominator (342) by 18.
72 ÷ 18/342 ÷ 18 = 4/19
Visual Representation
The diagram below illustrates Simplify 72/342 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/19 |
| Mixed Number Form | 4/19 |
| Decimal Form | 0.210526 |
| Percentage | 21.0526% |
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Frequently Asked Questions
What is 72/342 in simplest form?
72/342 simplified to lowest terms is 4/19.
What is the GCD (GCF) of 72 and 342?
The Greatest Common Divisor (GCD) of 72 and 342 is 18.
What are equivalent fractions to 72/342?
Equivalent fractions to 72/342 include 8/38, 12/57, and 16/76.