Simplify 144/458 to Lowest Terms
144/458 simplified to its lowest terms is 72/229 (or 0.31441 in decimal). See how to reduce 144/458 using Greatest Common Divisor (GCD = 2).
Exact Answer
144/458 = 72/229
Simplified Fraction
72/229
Mixed Number
Proper (72/229)
Decimal Value
0.31441
Percentage
31.441%
Step-by-Step Solution: 144/458 = 72/229
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 458:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 458:
1, 2, 229, 458
GCD(144, 458) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (144) and denominator (458) by 2.
144 ÷ 2/458 ÷ 2 = 72/229
Visual Representation
The diagram below illustrates Simplify 144/458 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 72/229 |
| Mixed Number Form | 72/229 |
| Decimal Form | 0.31441 |
| Percentage | 31.441% |
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Frequently Asked Questions
What is 144/458 in simplest form?
144/458 simplified to lowest terms is 72/229.
What is the GCD (GCF) of 144 and 458?
The Greatest Common Divisor (GCD) of 144 and 458 is 2.
What are equivalent fractions to 144/458?
Equivalent fractions to 144/458 include 144/458, 216/687, and 288/916.