GCF of 4291/825, 8113/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4291/825, 8113/617 i.e 7/509025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4291/825, 8113/617.
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 4291/825,8113/617?
Given fractions are 4291/825,8113/617
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 4291/825,8113/617, numerators are 4291,8113
Denominators are 825,617
The GCF of 4291,8113 is 7 .
LCM of 825,617 is 509025.
The greatest common factor of 4291/825,8113/617 = [GCF of 4291,8113]/[LCM of 825,617]= 7/509025
Therefore, the GCF of 4291/825,8113/617 is 7/509025.
To find the highest common factor of 4291,8113, we have to find the factors of both numbers and list the highest common factor.
The factors of 4291 are 1, 7, 613, 4291
The factors of 8113 are 1, 7, 19, 61, 133, 427, 1159, 8113
The HCF of 4291,8113 is 7.
Lets's calculate GCF of 4291,8113
| 7 | 4291, 8113 |
| 613, 1159 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4291,8113 By Matching Biggest Common Factor Method
Now, list down the factors of 4291
:1,7,613,4291
Now, list down the factors of 8113
:1,7,19,61,133,427,1159,8113
Greatest Common Factor
We found the factors 4291,8113 . The biggest common factor number is the GCF number.
So the greatest common factor 4291,8113 is 7.
Lets's calculate LCM of 825,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 509025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/509025
Therefore, the GCF of Fractions 4291/825,8113/617 is 7/509025
Least Common Multiple of 825,617 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 825,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,617) x common factors =1 x 1 = 1
LCM(825,617) = ( 825 × 617 ) / 1
LCM(825,617) = 509025 / 1
LCM(825,617) = 509025
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FAQs on GCF of Fractions of 4291/825, 8113/617
1. What is the HCF of 4291,8113?
The HCF of 4291,8113 is 7
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 4291/825, 8113/617?
Answer: GCF of Numerators as per given numbers 4291/825, 8113/617 is
GCF of Numerators i.e. for 4291,8113 is 7
LCM of denominators i.e. for 825,617 is 509025.
Thus, GCF of Fractions is 7/509025.Finally, GCF of Fractions for 4291/825, 8113/617 is 7/509025.