GCF of 910/766, 8021/9494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 910/766, 8021/9494 i.e 13/3636202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/766, 8021/9494.
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 910/766,8021/9494?
Given fractions are 910/766,8021/9494
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 910/766,8021/9494, numerators are 910,8021
Denominators are 766,9494
The GCF of 910,8021 is 13 .
LCM of 766,9494 is 3636202.
The greatest common factor of 910/766,8021/9494 = [GCF of 910,8021]/[LCM of 766,9494]= 13/3636202
Therefore, the GCF of 910/766,8021/9494 is 13/3636202.
To find the highest common factor of 910,8021, we have to find the factors of both numbers and list the highest common factor.
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 8021 are 1, 13, 617, 8021
The HCF of 910,8021 is 13.
Lets's calculate GCF of 910,8021
| 13 | 910, 8021 |
| 70, 617 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 910,8021 By Matching Biggest Common Factor Method
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 8021
:1,13,617,8021
Greatest Common Factor
We found the factors 910,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 910,8021 is 13.
Lets's calculate LCM of 766,9494
| 2 | 766, 9494 |
| 383, 4747 |
∴ So the LCM of the given numbers is 2 x 383 x 4747 = 3636202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3636202
Therefore, the GCF of Fractions 910/766,8021/9494 is 13/3636202
Least Common Multiple of 766,9494 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 766,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,9494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,9494) x common factors =2 x 1 = 2
LCM(766,9494) = ( 766 × 9494 ) / 2
LCM(766,9494) = 7272404 / 2
LCM(766,9494) = 3636202
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 910/766, 8021/9494
1. What is the HCF of 910,8021?
The HCF of 910,8021 is 13
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 910/766, 8021/9494?
Answer: GCF of Numerators as per given numbers 910/766, 8021/9494 is
GCF of Numerators i.e. for 910,8021 is 13
LCM of denominators i.e. for 766,9494 is 3636202.
Thus, GCF of Fractions is 13/3636202.Finally, GCF of Fractions for 910/766, 8021/9494 is 13/3636202.