Simplify 564/840 to Lowest Terms
564/840 simplified to its lowest terms is 47/70 (or 0.671429 in decimal). See how to reduce 564/840 using Greatest Common Divisor (GCD = 12).
Exact Answer
564/840 = 47/70
Simplified Fraction
47/70
Mixed Number
Proper (47/70)
Decimal Value
0.671429
Percentage
67.1429%
Step-by-Step Solution: 564/840 = 47/70
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 564:
• Factors of 840:
• Factors of 564:
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564• Factors of 840:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28
GCD(564, 840) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (564) and denominator (840) by 12.
564 ÷ 12/840 ÷ 12 = 47/70
Visual Representation
The diagram below illustrates Simplify 564/840 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 47/70 |
| Mixed Number Form | 47/70 |
| Decimal Form | 0.671429 |
| Percentage | 67.1429% |
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Frequently Asked Questions
What is 564/840 in simplest form?
564/840 simplified to lowest terms is 47/70.
What is the GCD (GCF) of 564 and 840?
The Greatest Common Divisor (GCD) of 564 and 840 is 12.
What are equivalent fractions to 564/840?
Equivalent fractions to 564/840 include 94/140, 141/210, and 188/280.