Simplify 438/1680 to Lowest Terms
438/1680 simplified to its lowest terms is 73/280 (or 0.260714 in decimal). See how to reduce 438/1680 using Greatest Common Divisor (GCD = 6).
Exact Answer
438/1680 = 73/280
Simplified Fraction
73/280
Mixed Number
Proper (73/280)
Decimal Value
0.260714
Percentage
26.0714%
Step-by-Step Solution: 438/1680 = 73/280
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 438:
โข Factors of 1680:
โข Factors of 438:
1, 2, 3, 6, 73, 146, 219, 438โข Factors of 1680:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
GCD(438, 1680) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (438) and denominator (1680) by 6.
438 รท 6/1680 รท 6 = 73/280
Visual Representation
The diagram below illustrates Simplify 438/1680 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 73/280 |
| Mixed Number Form | 73/280 |
| Decimal Form | 0.260714 |
| Percentage | 26.0714% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 438/1680 in simplest form?
438/1680 simplified to lowest terms is 73/280.
What is the GCD (GCF) of 438 and 1680?
The Greatest Common Divisor (GCD) of 438 and 1680 is 6.
What are equivalent fractions to 438/1680?
Equivalent fractions to 438/1680 include 146/560, 219/840, and 292/1120.