Simplify 144/678 to Lowest Terms
144/678 simplified to its lowest terms is 24/113 (or 0.212389 in decimal). See how to reduce 144/678 using Greatest Common Divisor (GCD = 6).
Exact Answer
144/678 = 24/113
Simplified Fraction
24/113
Mixed Number
Proper (24/113)
Decimal Value
0.212389
Percentage
21.2389%
Step-by-Step Solution: 144/678 = 24/113
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 144:
โข Factors of 678:
โข Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144โข Factors of 678:
1, 2, 3, 6, 113, 226, 339, 678
GCD(144, 678) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (144) and denominator (678) by 6.
144 รท 6/678 รท 6 = 24/113
Visual Representation
The diagram below illustrates Simplify 144/678 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/113 |
| Mixed Number Form | 24/113 |
| Decimal Form | 0.212389 |
| Percentage | 21.2389% |
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Frequently Asked Questions
What is 144/678 in simplest form?
144/678 simplified to lowest terms is 24/113.
What is the GCD (GCF) of 144 and 678?
The Greatest Common Divisor (GCD) of 144 and 678 is 6.
What are equivalent fractions to 144/678?
Equivalent fractions to 144/678 include 48/226, 72/339, and 96/452.