GCF of 7899/988, 9879/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7899/988, 9879/274 i.e 3/135356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7899/988, 9879/274.
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 7899/988,9879/274?
Given fractions are 7899/988,9879/274
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 7899/988,9879/274, numerators are 7899,9879
Denominators are 988,274
The GCF of 7899,9879 is 3 .
LCM of 988,274 is 135356.
The greatest common factor of 7899/988,9879/274 = [GCF of 7899,9879]/[LCM of 988,274]= 3/135356
Therefore, the GCF of 7899/988,9879/274 is 3/135356.
To find the highest common factor of 7899,9879, we have to find the factors of both numbers and list the highest common factor.
The factors of 7899 are 1, 3, 2633, 7899
The factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879
The HCF of 7899,9879 is 3.
Lets's calculate GCF of 7899,9879
| 3 | 7899, 9879 |
| 2633, 3293 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7899,9879 By Matching Biggest Common Factor Method
Now, list down the factors of 7899
:1,3,2633,7899
Now, list down the factors of 9879
:1,3,37,89,111,267,3293,9879
Greatest Common Factor
We found the factors 7899,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 7899,9879 is 3.
Lets's calculate LCM of 988,274
| 2 | 988, 274 |
| 494, 137 |
∴ So the LCM of the given numbers is 2 x 494 x 137 = 135356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/135356
Therefore, the GCF of Fractions 7899/988,9879/274 is 3/135356
Least Common Multiple of 988,274 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 988,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(988,274) x common factors =2 x 1 = 2
LCM(988,274) = ( 988 × 274 ) / 2
LCM(988,274) = 270712 / 2
LCM(988,274) = 135356
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FAQs on GCF of Fractions of 7899/988, 9879/274
1. What is the HCF of 7899,9879?
The HCF of 7899,9879 is 3
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 7899/988, 9879/274?
Answer: GCF of Numerators as per given numbers 7899/988, 9879/274 is
GCF of Numerators i.e. for 7899,9879 is 3
LCM of denominators i.e. for 988,274 is 135356.
Thus, GCF of Fractions is 3/135356.Finally, GCF of Fractions for 7899/988, 9879/274 is 3/135356.