Simplify 390/580 to Lowest Terms
390/580 simplified to its lowest terms is 39/58 (or 0.672414 in decimal). See how to reduce 390/580 using Greatest Common Divisor (GCD = 10).
Exact Answer
390/580 = 39/58
Simplified Fraction
39/58
Mixed Number
Proper (39/58)
Decimal Value
0.672414
Percentage
67.2414%
Step-by-Step Solution: 390/580 = 39/58
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 390:
• Factors of 580:
• Factors of 390:
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD(390, 580) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (390) and denominator (580) by 10.
390 ÷ 10/580 ÷ 10 = 39/58
Visual Representation
The diagram below illustrates Simplify 390/580 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 39/58 |
| Mixed Number Form | 39/58 |
| Decimal Form | 0.672414 |
| Percentage | 67.2414% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 390/580 in simplest form?
390/580 simplified to lowest terms is 39/58.
What is the GCD (GCF) of 390 and 580?
The Greatest Common Divisor (GCD) of 390 and 580 is 10.
What are equivalent fractions to 390/580?
Equivalent fractions to 390/580 include 78/116, 117/174, and 156/232.