Simplify 744/1424 to Lowest Terms
744/1424 simplified to its lowest terms is 93/178 (or 0.522472 in decimal). See how to reduce 744/1424 using Greatest Common Divisor (GCD = 8).
Exact Answer
744/1424 = 93/178
Simplified Fraction
93/178
Mixed Number
Proper (93/178)
Decimal Value
0.522472
Percentage
52.2472%
Step-by-Step Solution: 744/1424 = 93/178
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 744:
• Factors of 1424:
• Factors of 744:
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744• Factors of 1424:
1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
GCD(744, 1424) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (744) and denominator (1424) by 8.
744 ÷ 8/1424 ÷ 8 = 93/178
Visual Representation
The diagram below illustrates Simplify 744/1424 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 93/178 |
| Mixed Number Form | 93/178 |
| Decimal Form | 0.522472 |
| Percentage | 52.2472% |
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Frequently Asked Questions
What is 744/1424 in simplest form?
744/1424 simplified to lowest terms is 93/178.
What is the GCD (GCF) of 744 and 1424?
The Greatest Common Divisor (GCD) of 744 and 1424 is 8.
What are equivalent fractions to 744/1424?
Equivalent fractions to 744/1424 include 186/356, 279/534, and 372/712.