Simplify 338/748 to Lowest Terms
338/748 simplified to its lowest terms is 169/374 (or 0.451872 in decimal). See how to reduce 338/748 using Greatest Common Divisor (GCD = 2).
Exact Answer
338/748 = 169/374
Simplified Fraction
169/374
Mixed Number
Proper (169/374)
Decimal Value
0.451872
Percentage
45.1872%
Step-by-Step Solution: 338/748 = 169/374
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 338:
โข Factors of 748:
โข Factors of 338:
1, 2, 13, 26, 169, 338โข Factors of 748:
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD(338, 748) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (338) and denominator (748) by 2.
338 รท 2/748 รท 2 = 169/374
Visual Representation
The diagram below illustrates Simplify 338/748 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 169/374 |
| Mixed Number Form | 169/374 |
| Decimal Form | 0.451872 |
| Percentage | 45.1872% |
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Frequently Asked Questions
What is 338/748 in simplest form?
338/748 simplified to lowest terms is 169/374.
What is the GCD (GCF) of 338 and 748?
The Greatest Common Divisor (GCD) of 338 and 748 is 2.
What are equivalent fractions to 338/748?
Equivalent fractions to 338/748 include 338/748, 507/1122, and 676/1496.