Simplify 364/1504 to Lowest Terms
364/1504 simplified to its lowest terms is 91/376 (or 0.242021 in decimal). See how to reduce 364/1504 using Greatest Common Divisor (GCD = 4).
Exact Answer
364/1504 = 91/376
Simplified Fraction
91/376
Mixed Number
Proper (91/376)
Decimal Value
0.242021
Percentage
24.2021%
Step-by-Step Solution: 364/1504 = 91/376
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 364:
• Factors of 1504:
• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364• Factors of 1504:
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
GCD(364, 1504) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (364) and denominator (1504) by 4.
364 ÷ 4/1504 ÷ 4 = 91/376
Visual Representation
The diagram below illustrates Simplify 364/1504 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 91/376 |
| Mixed Number Form | 91/376 |
| Decimal Form | 0.242021 |
| Percentage | 24.2021% |
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Frequently Asked Questions
What is 364/1504 in simplest form?
364/1504 simplified to lowest terms is 91/376.
What is the GCD (GCF) of 364 and 1504?
The Greatest Common Divisor (GCD) of 364 and 1504 is 4.
What are equivalent fractions to 364/1504?
Equivalent fractions to 364/1504 include 182/752, 273/1128, and 364/1504.