Simplify 180/720 to Lowest Terms
180/720 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 180/720 using Greatest Common Divisor (GCD = 180).
Exact Answer
180/720 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 180/720 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 180:
• Factors of 720:
• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60• Factors of 720:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(180, 720) = 180
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 180. Divide both the numerator (180) and denominator (720) by 180.
180 ÷ 180/720 ÷ 180 = 1/4
Visual Representation
The diagram below illustrates Simplify 180/720 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 180/720 in simplest form?
180/720 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 180 and 720?
The Greatest Common Divisor (GCD) of 180 and 720 is 180.
What are equivalent fractions to 180/720?
Equivalent fractions to 180/720 include 2/8, 3/12, and 4/16.