Simplify 738/600 to Lowest Terms
738/600 simplified to its lowest terms is 123/100 (or 1.23 in decimal). See how to reduce 738/600 using Greatest Common Divisor (GCD = 6).
Exact Answer
738/600 = 123/100
Simplified Fraction
123/100
Mixed Number
1 23/100
Decimal Value
1.23
Percentage
123%
Step-by-Step Solution: 738/600 = 123/100
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 738:
• Factors of 600:
• Factors of 738:
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738• Factors of 600:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
GCD(738, 600) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (738) and denominator (600) by 6.
738 ÷ 6/600 ÷ 6 = 123/100
Step 3
Convert Improper Fraction to a Mixed Number
Because 123 is larger than 100, 123/100 can also be written as the mixed number 1 23/100.
123/100 = 123/100
Visual Representation
The diagram below illustrates Simplify 738/600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 123/100 |
| Mixed Number Form | 1 23/100 |
| Decimal Form | 1.23 |
| Percentage | 123% |
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Frequently Asked Questions
What is 738/600 in simplest form?
738/600 simplified to lowest terms is 123/100.
What is the GCD (GCF) of 738 and 600?
The Greatest Common Divisor (GCD) of 738 and 600 is 6.
What are equivalent fractions to 738/600?
Equivalent fractions to 738/600 include 246/200, 369/300, and 492/400.