Simplify 52/208 to Lowest Terms
52/208 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 52/208 using Greatest Common Divisor (GCD = 52).
Exact Answer
52/208 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 52/208 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 52:
• Factors of 208:
• Factors of 52:
1, 2, 4, 13, 26, 52• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(52, 208) = 52
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 52. Divide both the numerator (52) and denominator (208) by 52.
52 ÷ 52/208 ÷ 52 = 1/4
Visual Representation
The diagram below illustrates Simplify 52/208 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 52/208 in simplest form?
52/208 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 52 and 208?
The Greatest Common Divisor (GCD) of 52 and 208 is 52.
What are equivalent fractions to 52/208?
Equivalent fractions to 52/208 include 2/8, 3/12, and 4/16.