Simplify 738/820 to Lowest Terms
738/820 simplified to its lowest terms is 9/10 (or 0.9 in decimal). See how to reduce 738/820 using Greatest Common Divisor (GCD = 82).
Exact Answer
738/820 = 9/10
Simplified Fraction
9/10
Mixed Number
Proper (9/10)
Decimal Value
0.9
Percentage
90%
Step-by-Step Solution: 738/820 = 9/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 738:
• Factors of 820:
• Factors of 738:
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738• Factors of 820:
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD(738, 820) = 82
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 82. Divide both the numerator (738) and denominator (820) by 82.
738 ÷ 82/820 ÷ 82 = 9/10
Visual Representation
The diagram below illustrates Simplify 738/820 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/10 |
| Mixed Number Form | 9/10 |
| Decimal Form | 0.9 |
| Percentage | 90% |
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Frequently Asked Questions
What is 738/820 in simplest form?
738/820 simplified to lowest terms is 9/10.
What is the GCD (GCF) of 738 and 820?
The Greatest Common Divisor (GCD) of 738 and 820 is 82.
What are equivalent fractions to 738/820?
Equivalent fractions to 738/820 include 18/20, 27/30, and 36/40.