Simplify 1504/1742 to Lowest Terms
1504/1742 simplified to its lowest terms is 752/871 (or 0.863375 in decimal). See how to reduce 1504/1742 using Greatest Common Divisor (GCD = 2).
Exact Answer
1504/1742 = 752/871
Simplified Fraction
752/871
Mixed Number
Proper (752/871)
Decimal Value
0.863375
Percentage
86.3375%
Step-by-Step Solution: 1504/1742 = 752/871
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1504:
• Factors of 1742:
• Factors of 1504:
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504• Factors of 1742:
1, 2, 13, 26, 67, 134, 871, 1742
GCD(1504, 1742) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (1742) by 2.
1504 ÷ 2/1742 ÷ 2 = 752/871
Visual Representation
The diagram below illustrates Simplify 1504/1742 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 752/871 |
| Mixed Number Form | 752/871 |
| Decimal Form | 0.863375 |
| Percentage | 86.3375% |
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Frequently Asked Questions
What is 1504/1742 in simplest form?
1504/1742 simplified to lowest terms is 752/871.
What is the GCD (GCF) of 1504 and 1742?
The Greatest Common Divisor (GCD) of 1504 and 1742 is 2.
What are equivalent fractions to 1504/1742?
Equivalent fractions to 1504/1742 include 1504/1742, 2256/2613, and 3008/3484.