Simplify 214/580 to Lowest Terms
214/580 simplified to its lowest terms is 107/290 (or 0.368966 in decimal). See how to reduce 214/580 using Greatest Common Divisor (GCD = 2).
Exact Answer
214/580 = 107/290
Simplified Fraction
107/290
Mixed Number
Proper (107/290)
Decimal Value
0.368966
Percentage
36.8966%
Step-by-Step Solution: 214/580 = 107/290
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 214:
• Factors of 580:
• Factors of 214:
1, 2, 107, 214• Factors of 580:
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD(214, 580) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (214) and denominator (580) by 2.
214 ÷ 2/580 ÷ 2 = 107/290
Visual Representation
The diagram below illustrates Simplify 214/580 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 107/290 |
| Mixed Number Form | 107/290 |
| Decimal Form | 0.368966 |
| Percentage | 36.8966% |
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Frequently Asked Questions
What is 214/580 in simplest form?
214/580 simplified to lowest terms is 107/290.
What is the GCD (GCF) of 214 and 580?
The Greatest Common Divisor (GCD) of 214 and 580 is 2.
What are equivalent fractions to 214/580?
Equivalent fractions to 214/580 include 214/580, 321/870, and 428/1160.