Simplify 402/1608 to Lowest Terms
402/1608 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 402/1608 using Greatest Common Divisor (GCD = 402).
Exact Answer
402/1608 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 402/1608 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 402:
• Factors of 1608:
• Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402• Factors of 1608:
1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
GCD(402, 1608) = 402
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 402. Divide both the numerator (402) and denominator (1608) by 402.
402 ÷ 402/1608 ÷ 402 = 1/4
Visual Representation
The diagram below illustrates Simplify 402/1608 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 402/1608 in simplest form?
402/1608 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 402 and 1608?
The Greatest Common Divisor (GCD) of 402 and 1608 is 402.
What are equivalent fractions to 402/1608?
Equivalent fractions to 402/1608 include 2/8, 3/12, and 4/16.