Simplify 364/728 to Lowest Terms
364/728 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 364/728 using Greatest Common Divisor (GCD = 364).
Exact Answer
364/728 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 364/728 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 364:
• Factors of 728:
• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364• Factors of 728:
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD(364, 728) = 364
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 364. Divide both the numerator (364) and denominator (728) by 364.
364 ÷ 364/728 ÷ 364 = 1/2
Visual Representation
The diagram below illustrates Simplify 364/728 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 364/728 in simplest form?
364/728 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 364 and 728?
The Greatest Common Divisor (GCD) of 364 and 728 is 364.
What are equivalent fractions to 364/728?
Equivalent fractions to 364/728 include 2/4, 3/6, and 4/8.