Simplify 364/520 to Lowest Terms
364/520 simplified to its lowest terms is 7/10 (or 0.7 in decimal). See how to reduce 364/520 using Greatest Common Divisor (GCD = 52).
Exact Answer
364/520 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 364/520 = 7/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 364:
• Factors of 520:
• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364• Factors of 520:
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD(364, 520) = 52
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 52. Divide both the numerator (364) and denominator (520) by 52.
364 ÷ 52/520 ÷ 52 = 7/10
Visual Representation
The diagram below illustrates Simplify 364/520 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 364/520 in simplest form?
364/520 simplified to lowest terms is 7/10.
What is the GCD (GCF) of 364 and 520?
The Greatest Common Divisor (GCD) of 364 and 520 is 52.
What are equivalent fractions to 364/520?
Equivalent fractions to 364/520 include 14/20, 21/30, and 28/40.