Simplify 544/748 to Lowest Terms
544/748 simplified to its lowest terms is 8/11 (or 0.727273 in decimal). See how to reduce 544/748 using Greatest Common Divisor (GCD = 68).
Exact Answer
544/748 = 8/11
Simplified Fraction
8/11
Mixed Number
Proper (8/11)
Decimal Value
0.727273
Percentage
72.7273%
Step-by-Step Solution: 544/748 = 8/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 544:
• Factors of 748:
• Factors of 544:
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544• Factors of 748:
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD(544, 748) = 68
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 68. Divide both the numerator (544) and denominator (748) by 68.
544 ÷ 68/748 ÷ 68 = 8/11
Visual Representation
The diagram below illustrates Simplify 544/748 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/11 |
| Mixed Number Form | 8/11 |
| Decimal Form | 0.727273 |
| Percentage | 72.7273% |
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Frequently Asked Questions
What is 544/748 in simplest form?
544/748 simplified to lowest terms is 8/11.
What is the GCD (GCF) of 544 and 748?
The Greatest Common Divisor (GCD) of 544 and 748 is 68.
What are equivalent fractions to 544/748?
Equivalent fractions to 544/748 include 16/22, 24/33, and 32/44.