Simplify 82/364 to Lowest Terms
82/364 simplified to its lowest terms is 41/182 (or 0.225275 in decimal). See how to reduce 82/364 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/364 = 41/182
Simplified Fraction
41/182
Mixed Number
Proper (41/182)
Decimal Value
0.225275
Percentage
22.5275%
Step-by-Step Solution: 82/364 = 41/182
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 364:
• Factors of 82:
1, 2, 41, 82• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD(82, 364) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (82) and denominator (364) by 2.
82 ÷ 2/364 ÷ 2 = 41/182
Visual Representation
The diagram below illustrates Simplify 82/364 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/182 |
| Mixed Number Form | 41/182 |
| Decimal Form | 0.225275 |
| Percentage | 22.5275% |
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Frequently Asked Questions
What is 82/364 in simplest form?
82/364 simplified to lowest terms is 41/182.
What is the GCD (GCF) of 82 and 364?
The Greatest Common Divisor (GCD) of 82 and 364 is 2.
What are equivalent fractions to 82/364?
Equivalent fractions to 82/364 include 82/364, 123/546, and 164/728.