Simplify 74/208 to Lowest Terms
74/208 simplified to its lowest terms is 37/104 (or 0.355769 in decimal). See how to reduce 74/208 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/208 = 37/104
Simplified Fraction
37/104
Mixed Number
Proper (37/104)
Decimal Value
0.355769
Percentage
35.5769%
Step-by-Step Solution: 74/208 = 37/104
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 208:
• Factors of 74:
1, 2, 37, 74• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(74, 208) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (208) by 2.
74 ÷ 2/208 ÷ 2 = 37/104
Visual Representation
The diagram below illustrates Simplify 74/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/104 |
| Mixed Number Form | 37/104 |
| Decimal Form | 0.355769 |
| Percentage | 35.5769% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 74/208 in simplest form?
74/208 simplified to lowest terms is 37/104.
What is the GCD (GCF) of 74 and 208?
The Greatest Common Divisor (GCD) of 74 and 208 is 2.
What are equivalent fractions to 74/208?
Equivalent fractions to 74/208 include 74/208, 111/312, and 148/416.