Simplify 364/744 to Lowest Terms
364/744 simplified to its lowest terms is 91/186 (or 0.489247 in decimal). See how to reduce 364/744 using Greatest Common Divisor (GCD = 4).
Exact Answer
364/744 = 91/186
Simplified Fraction
91/186
Mixed Number
Proper (91/186)
Decimal Value
0.489247
Percentage
48.9247%
Step-by-Step Solution: 364/744 = 91/186
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 364:
• Factors of 744:
• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364• Factors of 744:
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD(364, 744) = 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 (744) by 4.
364 ÷ 4/744 ÷ 4 = 91/186
Visual Representation
The diagram below illustrates Simplify 364/744 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 91/186 |
| Mixed Number Form | 91/186 |
| Decimal Form | 0.489247 |
| Percentage | 48.9247% |
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Frequently Asked Questions
What is 364/744 in simplest form?
364/744 simplified to lowest terms is 91/186.
What is the GCD (GCF) of 364 and 744?
The Greatest Common Divisor (GCD) of 364 and 744 is 4.
What are equivalent fractions to 364/744?
Equivalent fractions to 364/744 include 182/372, 273/558, and 364/744.