Simplify 580/552 to Lowest Terms
580/552 simplified to its lowest terms is 145/138 (or 1.050725 in decimal). See how to reduce 580/552 using Greatest Common Divisor (GCD = 4).
Exact Answer
580/552 = 145/138
Simplified Fraction
145/138
Mixed Number
1 7/138
Decimal Value
1.050725
Percentage
105.0725%
Step-by-Step Solution: 580/552 = 145/138
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 580:
• Factors of 552:
• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580• Factors of 552:
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD(580, 552) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (580) and denominator (552) by 4.
580 ÷ 4/552 ÷ 4 = 145/138
Step 3
Convert Improper Fraction to a Mixed Number
Because 145 is larger than 138, 145/138 can also be written as the mixed number 1 7/138.
145/138 = 17/138
Visual Representation
The diagram below illustrates Simplify 580/552 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 145/138 |
| Mixed Number Form | 1 7/138 |
| Decimal Form | 1.050725 |
| Percentage | 105.0725% |
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Frequently Asked Questions
What is 580/552 in simplest form?
580/552 simplified to lowest terms is 145/138.
What is the GCD (GCF) of 580 and 552?
The Greatest Common Divisor (GCD) of 580 and 552 is 4.
What are equivalent fractions to 580/552?
Equivalent fractions to 580/552 include 290/276, 435/414, and 580/552.