Simplify 742/1684 to Lowest Terms
742/1684 simplified to its lowest terms is 371/842 (or 0.440618 in decimal). See how to reduce 742/1684 using Greatest Common Divisor (GCD = 2).
Exact Answer
742/1684 = 371/842
Simplified Fraction
371/842
Mixed Number
Proper (371/842)
Decimal Value
0.440618
Percentage
44.0618%
Step-by-Step Solution: 742/1684 = 371/842
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 742:
• Factors of 1684:
• Factors of 742:
1, 2, 7, 14, 53, 106, 371, 742• Factors of 1684:
1, 2, 4, 421, 842, 1684
GCD(742, 1684) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (1684) by 2.
742 ÷ 2/1684 ÷ 2 = 371/842
Visual Representation
The diagram below illustrates Simplify 742/1684 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 371/842 |
| Mixed Number Form | 371/842 |
| Decimal Form | 0.440618 |
| Percentage | 44.0618% |
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Frequently Asked Questions
What is 742/1684 in simplest form?
742/1684 simplified to lowest terms is 371/842.
What is the GCD (GCF) of 742 and 1684?
The Greatest Common Divisor (GCD) of 742 and 1684 is 2.
What are equivalent fractions to 742/1684?
Equivalent fractions to 742/1684 include 742/1684, 1113/2526, and 1484/3368.