Simplify 360/1440 to Lowest Terms
360/1440 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 360/1440 using Greatest Common Divisor (GCD = 360).
Exact Answer
360/1440 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 360/1440 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 1440:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 1440:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(360, 1440) = 360
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 360. Divide both the numerator (360) and denominator (1440) by 360.
360 ÷ 360/1440 ÷ 360 = 1/4
Visual Representation
The diagram below illustrates Simplify 360/1440 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 360/1440 in simplest form?
360/1440 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 360 and 1440?
The Greatest Common Divisor (GCD) of 360 and 1440 is 360.
What are equivalent fractions to 360/1440?
Equivalent fractions to 360/1440 include 2/8, 3/12, and 4/16.