Simplify 774/588 to Lowest Terms
774/588 simplified to its lowest terms is 129/98 (or 1.316327 in decimal). See how to reduce 774/588 using Greatest Common Divisor (GCD = 6).
Exact Answer
774/588 = 129/98
Simplified Fraction
129/98
Mixed Number
1 31/98
Decimal Value
1.316327
Percentage
131.6327%
Step-by-Step Solution: 774/588 = 129/98
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 774:
• Factors of 588:
• Factors of 774:
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774• Factors of 588:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196
GCD(774, 588) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (774) and denominator (588) by 6.
774 ÷ 6/588 ÷ 6 = 129/98
Step 3
Convert Improper Fraction to a Mixed Number
Because 129 is larger than 98, 129/98 can also be written as the mixed number 1 31/98.
129/98 = 131/98
Visual Representation
The diagram below illustrates Simplify 774/588 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 129/98 |
| Mixed Number Form | 1 31/98 |
| Decimal Form | 1.316327 |
| Percentage | 131.6327% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 774/588 in simplest form?
774/588 simplified to lowest terms is 129/98.
What is the GCD (GCF) of 774 and 588?
The Greatest Common Divisor (GCD) of 774 and 588 is 6.
What are equivalent fractions to 774/588?
Equivalent fractions to 774/588 include 258/196, 387/294, and 516/392.