Simplify 390/624 to Lowest Terms
390/624 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 390/624 using Greatest Common Divisor (GCD = 78).
Exact Answer
390/624 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 390/624 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 390:
• Factors of 624:
• Factors of 390:
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390• Factors of 624:
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104
GCD(390, 624) = 78
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 78. Divide both the numerator (390) and denominator (624) by 78.
390 ÷ 78/624 ÷ 78 = 5/8
Visual Representation
The diagram below illustrates Simplify 390/624 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 390/624 in simplest form?
390/624 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 390 and 624?
The Greatest Common Divisor (GCD) of 390 and 624 is 78.
What are equivalent fractions to 390/624?
Equivalent fractions to 390/624 include 10/16, 15/24, and 20/32.