Simplify 208/780 to Lowest Terms
208/780 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 208/780 using Greatest Common Divisor (GCD = 52).
Exact Answer
208/780 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 208/780 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 208:
• Factors of 780:
• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208• Factors of 780:
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60
GCD(208, 780) = 52
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 52. Divide both the numerator (208) and denominator (780) by 52.
208 ÷ 52/780 ÷ 52 = 4/15
Visual Representation
The diagram below illustrates Simplify 208/780 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 208/780 in simplest form?
208/780 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 208 and 780?
The Greatest Common Divisor (GCD) of 208 and 780 is 52.
What are equivalent fractions to 208/780?
Equivalent fractions to 208/780 include 8/30, 12/45, and 16/60.