GCF of 8444/876, 9959/7786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8444/876, 9959/7786 i.e 1/3410268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8444/876, 9959/7786.
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 8444/876,9959/7786?
Given fractions are 8444/876,9959/7786
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 8444/876,9959/7786, numerators are 8444,9959
Denominators are 876,7786
The GCF of 8444,9959 is 1 .
LCM of 876,7786 is 3410268.
The greatest common factor of 8444/876,9959/7786 = [GCF of 8444,9959]/[LCM of 876,7786]= 1/3410268
Therefore, the GCF of 8444/876,9959/7786 is 1/3410268.
To find the highest common factor of 8444,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 8444 are 1, 2, 4, 2111, 4222, 8444
The factors of 9959 are 1, 23, 433, 9959
The HCF of 8444,9959 is 1.
Lets's calculate GCF of 8444,9959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8444,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 8444
:1,2,4,2111,4222,8444
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 8444,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 8444,9959 is 1.
Lets's calculate LCM of 876,7786
| 2 | 876, 7786 |
| 438, 3893 |
∴ So the LCM of the given numbers is 2 x 438 x 3893 = 3410268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3410268
Therefore, the GCF of Fractions 8444/876,9959/7786 is 1/3410268
Least Common Multiple of 876,7786 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 876,7786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,7786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,7786) x common factors =2 x 1 = 2
LCM(876,7786) = ( 876 × 7786 ) / 2
LCM(876,7786) = 6820536 / 2
LCM(876,7786) = 3410268
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FAQs on GCF of Fractions of 8444/876, 9959/7786
1. What is the HCF of 8444,9959?
The HCF of 8444,9959 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 8444/876, 9959/7786?
Answer: GCF of Numerators as per given numbers 8444/876, 9959/7786 is
GCF of Numerators i.e. for 8444,9959 is 1
LCM of denominators i.e. for 876,7786 is 3410268.
Thus, GCF of Fractions is 1/3410268.Finally, GCF of Fractions for 8444/876, 9959/7786 is 1/3410268.