GCF of 8961/838, 2271/424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8961/838, 2271/424 i.e 3/177656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8961/838, 2271/424.
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 8961/838,2271/424?
Given fractions are 8961/838,2271/424
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 8961/838,2271/424, numerators are 8961,2271
Denominators are 838,424
The GCF of 8961,2271 is 3 .
LCM of 838,424 is 177656.
The greatest common factor of 8961/838,2271/424 = [GCF of 8961,2271]/[LCM of 838,424]= 3/177656
Therefore, the GCF of 8961/838,2271/424 is 3/177656.
To find the highest common factor of 8961,2271, we have to find the factors of both numbers and list the highest common factor.
The factors of 8961 are 1, 3, 29, 87, 103, 309, 2987, 8961
The factors of 2271 are 1, 3, 757, 2271
The HCF of 8961,2271 is 3.
Lets's calculate GCF of 8961,2271
| 3 | 8961, 2271 |
| 2987, 757 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8961,2271 By Matching Biggest Common Factor Method
Now, list down the factors of 8961
:1,3,29,87,103,309,2987,8961
Now, list down the factors of 2271
:1,3,757,2271
Greatest Common Factor
We found the factors 8961,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 8961,2271 is 3.
Lets's calculate LCM of 838,424
| 2 | 838, 424 |
| 419, 212 |
∴ So the LCM of the given numbers is 2 x 419 x 212 = 177656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/177656
Therefore, the GCF of Fractions 8961/838,2271/424 is 3/177656
Least Common Multiple of 838,424 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 838,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,424) x common factors =2 x 1 = 2
LCM(838,424) = ( 838 × 424 ) / 2
LCM(838,424) = 355312 / 2
LCM(838,424) = 177656
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FAQs on GCF of Fractions of 8961/838, 2271/424
1. What is the HCF of 8961,2271?
The HCF of 8961,2271 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 8961/838, 2271/424?
Answer: GCF of Numerators as per given numbers 8961/838, 2271/424 is
GCF of Numerators i.e. for 8961,2271 is 3
LCM of denominators i.e. for 838,424 is 177656.
Thus, GCF of Fractions is 3/177656.Finally, GCF of Fractions for 8961/838, 2271/424 is 3/177656.