Simplify 144/672 to Lowest Terms
144/672 simplified to its lowest terms is 3/14 (or 0.214286 in decimal). See how to reduce 144/672 using Greatest Common Divisor (GCD = 48).
Exact Answer
144/672 = 3/14
Simplified Fraction
3/14
Mixed Number
Proper (3/14)
Decimal Value
0.214286
Percentage
21.4286%
Step-by-Step Solution: 144/672 = 3/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 672:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 672:
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
GCD(144, 672) = 48
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (144) and denominator (672) by 48.
144 ÷ 48/672 ÷ 48 = 3/14
Visual Representation
The diagram below illustrates Simplify 144/672 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/14 |
| Mixed Number Form | 3/14 |
| Decimal Form | 0.214286 |
| Percentage | 21.4286% |
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Frequently Asked Questions
What is 144/672 in simplest form?
144/672 simplified to lowest terms is 3/14.
What is the GCD (GCF) of 144 and 672?
The Greatest Common Divisor (GCD) of 144 and 672 is 48.
What are equivalent fractions to 144/672?
Equivalent fractions to 144/672 include 6/28, 9/42, and 12/56.