GCF of 8979/927, 2378/9818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8979/927, 2378/9818 i.e 41/9101286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8979/927, 2378/9818.
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 8979/927,2378/9818?
Given fractions are 8979/927,2378/9818
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 8979/927,2378/9818, numerators are 8979,2378
Denominators are 927,9818
The GCF of 8979,2378 is 41 .
LCM of 927,9818 is 9101286.
The greatest common factor of 8979/927,2378/9818 = [GCF of 8979,2378]/[LCM of 927,9818]= 41/9101286
Therefore, the GCF of 8979/927,2378/9818 is 41/9101286.
To find the highest common factor of 8979,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 8979,2378 is 41.
Lets's calculate GCF of 8979,2378
| 41 | 8979, 2378 |
| 219, 58 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 8979,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 8979
:1,3,41,73,123,219,2993,8979
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 8979,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 8979,2378 is 41.
Lets's calculate LCM of 927,9818
Given numbers has no common factors except 1. So, there LCM is their product i.e 9101286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/9101286
Therefore, the GCF of Fractions 8979/927,2378/9818 is 41/9101286
Least Common Multiple of 927,9818 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 927,9818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,9818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,9818) x common factors =1 x 1 = 1
LCM(927,9818) = ( 927 × 9818 ) / 1
LCM(927,9818) = 9101286 / 1
LCM(927,9818) = 9101286
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FAQs on GCF of Fractions of 8979/927, 2378/9818
1. What is the HCF of 8979,2378?
The HCF of 8979,2378 is 41
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 8979/927, 2378/9818?
Answer: GCF of Numerators as per given numbers 8979/927, 2378/9818 is
GCF of Numerators i.e. for 8979,2378 is 41
LCM of denominators i.e. for 927,9818 is 9101286.
Thus, GCF of Fractions is 41/9101286.Finally, GCF of Fractions for 8979/927, 2378/9818 is 41/9101286.