Simplify 264/214 to Lowest Terms
264/214 simplified to its lowest terms is 132/107 (or 1.233645 in decimal). See how to reduce 264/214 using Greatest Common Divisor (GCD = 2).
Exact Answer
264/214 = 132/107
Simplified Fraction
132/107
Mixed Number
1 25/107
Decimal Value
1.233645
Percentage
123.3645%
Step-by-Step Solution: 264/214 = 132/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 264:
• Factors of 214:
• Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264• Factors of 214:
1, 2, 107, 214
GCD(264, 214) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (264) and denominator (214) by 2.
264 ÷ 2/214 ÷ 2 = 132/107
Step 3
Convert Improper Fraction to a Mixed Number
Because 132 is larger than 107, 132/107 can also be written as the mixed number 1 25/107.
132/107 = 125/107
Visual Representation
The diagram below illustrates Simplify 264/214 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 132/107 |
| Mixed Number Form | 1 25/107 |
| Decimal Form | 1.233645 |
| Percentage | 123.3645% |
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Frequently Asked Questions
What is 264/214 in simplest form?
264/214 simplified to lowest terms is 132/107.
What is the GCD (GCF) of 264 and 214?
The Greatest Common Divisor (GCD) of 264 and 214 is 2.
What are equivalent fractions to 264/214?
Equivalent fractions to 264/214 include 264/214, 396/321, and 528/428.