Simplify 72/214 to Lowest Terms
72/214 simplified to its lowest terms is 36/107 (or 0.336449 in decimal). See how to reduce 72/214 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/214 = 36/107
Simplified Fraction
36/107
Mixed Number
Proper (36/107)
Decimal Value
0.336449
Percentage
33.6449%
Step-by-Step Solution: 72/214 = 36/107
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 214:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 214:
1, 2, 107, 214
GCD(72, 214) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (214) by 2.
72 ÷ 2/214 ÷ 2 = 36/107
Visual Representation
The diagram below illustrates Simplify 72/214 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/107 |
| Mixed Number Form | 36/107 |
| Decimal Form | 0.336449 |
| Percentage | 33.6449% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 72/214 in simplest form?
72/214 simplified to lowest terms is 36/107.
What is the GCD (GCF) of 72 and 214?
The Greatest Common Divisor (GCD) of 72 and 214 is 2.
What are equivalent fractions to 72/214?
Equivalent fractions to 72/214 include 72/214, 108/321, and 144/428.