GCF of 596/793, 8644/763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 596/793, 8644/763 i.e 4/605059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/793, 8644/763.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 596/793,8644/763?
Given fractions are 596/793,8644/763
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 596/793,8644/763, numerators are 596,8644
Denominators are 793,763
The GCF of 596,8644 is 4 .
LCM of 793,763 is 605059.
The greatest common factor of 596/793,8644/763 = [GCF of 596,8644]/[LCM of 793,763]= 4/605059
Therefore, the GCF of 596/793,8644/763 is 4/605059.
To find the highest common factor of 596,8644, we have to find the factors of both numbers and list the highest common factor.
The factors of 596 are 1, 2, 4, 149, 298, 596
The factors of 8644 are 1, 2, 4, 2161, 4322, 8644
The HCF of 596,8644 is 4.
Lets's calculate GCF of 596,8644
| 2 | 596, 8644 |
| 2 | 298, 4322 |
| 149, 2161 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 596,8644 By Matching Biggest Common Factor Method
Now, list down the factors of 596
:1,2,4,149,298,596
Now, list down the factors of 8644
:1,2,4,2161,4322,8644
Greatest Common Factor
We found the factors 596,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 596,8644 is 4.
Lets's calculate LCM of 793,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 605059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/605059
Therefore, the GCF of Fractions 596/793,8644/763 is 4/605059
Least Common Multiple of 793,763 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 793,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,763) x common factors =1 x 1 = 1
LCM(793,763) = ( 793 × 763 ) / 1
LCM(793,763) = 605059 / 1
LCM(793,763) = 605059
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FAQs on GCF of Fractions of 596/793, 8644/763
1. What is the HCF of 596,8644?
The HCF of 596,8644 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 596/793, 8644/763?
Answer: GCF of Numerators as per given numbers 596/793, 8644/763 is
GCF of Numerators i.e. for 596,8644 is 4
LCM of denominators i.e. for 793,763 is 605059.
Thus, GCF of Fractions is 4/605059.Finally, GCF of Fractions for 596/793, 8644/763 is 4/605059.