Simplify 738/588 to Lowest Terms
738/588 simplified to its lowest terms is 123/98 (or 1.255102 in decimal). See how to reduce 738/588 using Greatest Common Divisor (GCD = 6).
Exact Answer
738/588 = 123/98
Simplified Fraction
123/98
Mixed Number
1 25/98
Decimal Value
1.255102
Percentage
125.5102%
Step-by-Step Solution: 738/588 = 123/98
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 738:
• Factors of 588:
• Factors of 738:
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738• Factors of 588:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196
GCD(738, 588) = 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 (588) by 6.
738 ÷ 6/588 ÷ 6 = 123/98
Step 3
Convert Improper Fraction to a Mixed Number
Because 123 is larger than 98, 123/98 can also be written as the mixed number 1 25/98.
123/98 = 125/98
Visual Representation
The diagram below illustrates Simplify 738/588 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 123/98 |
| Mixed Number Form | 1 25/98 |
| Decimal Form | 1.255102 |
| Percentage | 125.5102% |
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Frequently Asked Questions
What is 738/588 in simplest form?
738/588 simplified to lowest terms is 123/98.
What is the GCD (GCF) of 738 and 588?
The Greatest Common Divisor (GCD) of 738 and 588 is 6.
What are equivalent fractions to 738/588?
Equivalent fractions to 738/588 include 246/196, 369/294, and 492/392.