GCF of 9746/584, 8976/6881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9746/584, 8976/6881 i.e 22/4018504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9746/584, 8976/6881.
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 9746/584,8976/6881?
Given fractions are 9746/584,8976/6881
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 9746/584,8976/6881, numerators are 9746,8976
Denominators are 584,6881
The GCF of 9746,8976 is 22 .
LCM of 584,6881 is 4018504.
The greatest common factor of 9746/584,8976/6881 = [GCF of 9746,8976]/[LCM of 584,6881]= 22/4018504
Therefore, the GCF of 9746/584,8976/6881 is 22/4018504.
To find the highest common factor of 9746,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 9746,8976 is 22.
Lets's calculate GCF of 9746,8976
| 2 | 9746, 8976 |
| 11 | 4873, 4488 |
| 443, 408 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9746,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 9746
:1,2,11,22,443,886,4873,9746
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 9746,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,8976 is 22.
Lets's calculate LCM of 584,6881
Given numbers has no common factors except 1. So, there LCM is their product i.e 4018504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4018504
Therefore, the GCF of Fractions 9746/584,8976/6881 is 22/4018504
Least Common Multiple of 584,6881 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 584,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,6881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,6881) x common factors =1 x 1 = 1
LCM(584,6881) = ( 584 × 6881 ) / 1
LCM(584,6881) = 4018504 / 1
LCM(584,6881) = 4018504
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FAQs on GCF of Fractions of 9746/584, 8976/6881
1. What is the HCF of 9746,8976?
The HCF of 9746,8976 is 22
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 9746/584, 8976/6881?
Answer: GCF of Numerators as per given numbers 9746/584, 8976/6881 is
GCF of Numerators i.e. for 9746,8976 is 22
LCM of denominators i.e. for 584,6881 is 4018504.
Thus, GCF of Fractions is 22/4018504.Finally, GCF of Fractions for 9746/584, 8976/6881 is 22/4018504.