Simplify 210/840 to Lowest Terms
210/840 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 210/840 using Greatest Common Divisor (GCD = 210).
Exact Answer
210/840 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 210/840 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 210:
• Factors of 840:
• Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210• Factors of 840:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28
GCD(210, 840) = 210
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 210. Divide both the numerator (210) and denominator (840) by 210.
210 ÷ 210/840 ÷ 210 = 1/4
Visual Representation
The diagram below illustrates Simplify 210/840 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 210/840 in simplest form?
210/840 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 210 and 840?
The Greatest Common Divisor (GCD) of 210 and 840 is 210.
What are equivalent fractions to 210/840?
Equivalent fractions to 210/840 include 2/8, 3/12, and 4/16.