Simplify 320/564 to Lowest Terms
320/564 simplified to its lowest terms is 80/141 (or 0.567376 in decimal). See how to reduce 320/564 using Greatest Common Divisor (GCD = 4).
Exact Answer
320/564 = 80/141
Simplified Fraction
80/141
Mixed Number
Proper (80/141)
Decimal Value
0.567376
Percentage
56.7376%
Step-by-Step Solution: 320/564 = 80/141
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 320:
โข Factors of 564:
โข Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320โข Factors of 564:
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD(320, 564) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (320) and denominator (564) by 4.
320 รท 4/564 รท 4 = 80/141
Visual Representation
The diagram below illustrates Simplify 320/564 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 80/141 |
| Mixed Number Form | 80/141 |
| Decimal Form | 0.567376 |
| Percentage | 56.7376% |
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Frequently Asked Questions
What is 320/564 in simplest form?
320/564 simplified to lowest terms is 80/141.
What is the GCD (GCF) of 320 and 564?
The Greatest Common Divisor (GCD) of 320 and 564 is 4.
What are equivalent fractions to 320/564?
Equivalent fractions to 320/564 include 160/282, 240/423, and 320/564.