GCF of 8879/428, 8241/1236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8879/428, 8241/1236 i.e 1/132252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8879/428, 8241/1236.
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 8879/428,8241/1236?
Given fractions are 8879/428,8241/1236
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 8879/428,8241/1236, numerators are 8879,8241
Denominators are 428,1236
The GCF of 8879,8241 is 1 .
LCM of 428,1236 is 132252.
The greatest common factor of 8879/428,8241/1236 = [GCF of 8879,8241]/[LCM of 428,1236]= 1/132252
Therefore, the GCF of 8879/428,8241/1236 is 1/132252.
To find the highest common factor of 8879,8241, we have to find the factors of both numbers and list the highest common factor.
The factors of 8879 are 1, 13, 683, 8879
The factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241
The HCF of 8879,8241 is 1.
Lets's calculate GCF of 8879,8241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8879,8241 By Matching Biggest Common Factor Method
Now, list down the factors of 8879
:1,13,683,8879
Now, list down the factors of 8241
:1,3,41,67,123,201,2747,8241
Greatest Common Factor
We found the factors 8879,8241 . The biggest common factor number is the GCF number.
So the greatest common factor 8879,8241 is 1.
Lets's calculate LCM of 428,1236
| 2 | 428, 1236 |
| 2 | 214, 618 |
| 107, 309 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 309 = 132252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132252
Therefore, the GCF of Fractions 8879/428,8241/1236 is 1/132252
Least Common Multiple of 428,1236 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 428,1236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,1236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,1236) x common factors =4 x 1 = 4
LCM(428,1236) = ( 428 × 1236 ) / 4
LCM(428,1236) = 529008 / 4
LCM(428,1236) = 132252
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FAQs on GCF of Fractions of 8879/428, 8241/1236
1. What is the HCF of 8879,8241?
The HCF of 8879,8241 is 1
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 8879/428, 8241/1236?
Answer: GCF of Numerators as per given numbers 8879/428, 8241/1236 is
GCF of Numerators i.e. for 8879,8241 is 1
LCM of denominators i.e. for 428,1236 is 132252.
Thus, GCF of Fractions is 1/132252.Finally, GCF of Fractions for 8879/428, 8241/1236 is 1/132252.