Simplify 744/1104 to Lowest Terms
744/1104 simplified to its lowest terms is 31/46 (or 0.673913 in decimal). See how to reduce 744/1104 using Greatest Common Divisor (GCD = 24).
Exact Answer
744/1104 = 31/46
Simplified Fraction
31/46
Mixed Number
Proper (31/46)
Decimal Value
0.673913
Percentage
67.3913%
Step-by-Step Solution: 744/1104 = 31/46
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 744:
• Factors of 1104:
• Factors of 744:
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744• Factors of 1104:
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
GCD(744, 1104) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (744) and denominator (1104) by 24.
744 ÷ 24/1104 ÷ 24 = 31/46
Visual Representation
The diagram below illustrates Simplify 744/1104 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 31/46 |
| Mixed Number Form | 31/46 |
| Decimal Form | 0.673913 |
| Percentage | 67.3913% |
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Frequently Asked Questions
What is 744/1104 in simplest form?
744/1104 simplified to lowest terms is 31/46.
What is the GCD (GCF) of 744 and 1104?
The Greatest Common Divisor (GCD) of 744 and 1104 is 24.
What are equivalent fractions to 744/1104?
Equivalent fractions to 744/1104 include 62/92, 93/138, and 124/184.