Simplify 580/800 to Lowest Terms
580/800 simplified to its lowest terms is 29/40 (or 0.725 in decimal). See how to reduce 580/800 using Greatest Common Divisor (GCD = 20).
Exact Answer
580/800 = 29/40
Simplified Fraction
29/40
Mixed Number
Proper (29/40)
Decimal Value
0.725
Percentage
72.5%
Step-by-Step Solution: 580/800 = 29/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 580:
• Factors of 800:
• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200
GCD(580, 800) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (580) and denominator (800) by 20.
580 ÷ 20/800 ÷ 20 = 29/40
Visual Representation
The diagram below illustrates Simplify 580/800 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 29/40 |
| Mixed Number Form | 29/40 |
| Decimal Form | 0.725 |
| Percentage | 72.5% |
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Frequently Asked Questions
What is 580/800 in simplest form?
580/800 simplified to lowest terms is 29/40.
What is the GCD (GCF) of 580 and 800?
The Greatest Common Divisor (GCD) of 580 and 800 is 20.
What are equivalent fractions to 580/800?
Equivalent fractions to 580/800 include 58/80, 87/120, and 116/160.