Simplify 642/580 to Lowest Terms
642/580 simplified to its lowest terms is 321/290 (or 1.106897 in decimal). See how to reduce 642/580 using Greatest Common Divisor (GCD = 2).
Exact Answer
642/580 = 321/290
Simplified Fraction
321/290
Mixed Number
1 31/290
Decimal Value
1.106897
Percentage
110.6897%
Step-by-Step Solution: 642/580 = 321/290
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 642:
• Factors of 580:
• Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD(642, 580) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (642) and denominator (580) by 2.
642 ÷ 2/580 ÷ 2 = 321/290
Step 3
Convert Improper Fraction to a Mixed Number
Because 321 is larger than 290, 321/290 can also be written as the mixed number 1 31/290.
321/290 = 131/290
Visual Representation
The diagram below illustrates Simplify 642/580 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 321/290 |
| Mixed Number Form | 1 31/290 |
| Decimal Form | 1.106897 |
| Percentage | 110.6897% |
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Frequently Asked Questions
What is 642/580 in simplest form?
642/580 simplified to lowest terms is 321/290.
What is the GCD (GCF) of 642 and 580?
The Greatest Common Divisor (GCD) of 642 and 580 is 2.
What are equivalent fractions to 642/580?
Equivalent fractions to 642/580 include 642/580, 963/870, and 1284/1160.