Simplify 210/780 to Lowest Terms
210/780 simplified to its lowest terms is 7/26 (or 0.269231 in decimal). See how to reduce 210/780 using Greatest Common Divisor (GCD = 30).
Exact Answer
210/780 = 7/26
Simplified Fraction
7/26
Mixed Number
Proper (7/26)
Decimal Value
0.269231
Percentage
26.9231%
Step-by-Step Solution: 210/780 = 7/26
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 210:
• Factors of 780:
• Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210• Factors of 780:
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60
GCD(210, 780) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (210) and denominator (780) by 30.
210 ÷ 30/780 ÷ 30 = 7/26
Visual Representation
The diagram below illustrates Simplify 210/780 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/26 |
| Mixed Number Form | 7/26 |
| Decimal Form | 0.269231 |
| Percentage | 26.9231% |
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Frequently Asked Questions
What is 210/780 in simplest form?
210/780 simplified to lowest terms is 7/26.
What is the GCD (GCF) of 210 and 780?
The Greatest Common Divisor (GCD) of 210 and 780 is 30.
What are equivalent fractions to 210/780?
Equivalent fractions to 210/780 include 14/52, 21/78, and 28/104.