Simplify 180/272 to Lowest Terms
180/272 simplified to its lowest terms is 45/68 (or 0.661765 in decimal). See how to reduce 180/272 using Greatest Common Divisor (GCD = 4).
Exact Answer
180/272 = 45/68
Simplified Fraction
45/68
Mixed Number
Proper (45/68)
Decimal Value
0.661765
Percentage
66.1765%
Step-by-Step Solution: 180/272 = 45/68
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 180:
โข Factors of 272:
โข Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60โข Factors of 272:
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD(180, 272) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (180) and denominator (272) by 4.
180 รท 4/272 รท 4 = 45/68
Visual Representation
The diagram below illustrates Simplify 180/272 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 45/68 |
| Mixed Number Form | 45/68 |
| Decimal Form | 0.661765 |
| Percentage | 66.1765% |
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Frequently Asked Questions
What is 180/272 in simplest form?
180/272 simplified to lowest terms is 45/68.
What is the GCD (GCF) of 180 and 272?
The Greatest Common Divisor (GCD) of 180 and 272 is 4.
What are equivalent fractions to 180/272?
Equivalent fractions to 180/272 include 90/136, 135/204, and 180/272.