GCF of 9944/614, 9379/1122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9944/614, 9379/1122 i.e 113/344454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9944/614, 9379/1122.
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 9944/614,9379/1122?
Given fractions are 9944/614,9379/1122
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 9944/614,9379/1122, numerators are 9944,9379
Denominators are 614,1122
The GCF of 9944,9379 is 113 .
LCM of 614,1122 is 344454.
The greatest common factor of 9944/614,9379/1122 = [GCF of 9944,9379]/[LCM of 614,1122]= 113/344454
Therefore, the GCF of 9944/614,9379/1122 is 113/344454.
To find the highest common factor of 9944,9379, we have to find the factors of both numbers and list the highest common factor.
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The factors of 9379 are 1, 83, 113, 9379
The HCF of 9944,9379 is 113.
Lets's calculate GCF of 9944,9379
| 113 | 9944, 9379 |
| 88, 83 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 9944,9379 By Matching Biggest Common Factor Method
Now, list down the factors of 9944
:1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Now, list down the factors of 9379
:1,83,113,9379
Greatest Common Factor
We found the factors 9944,9379 . The biggest common factor number is the GCF number.
So the greatest common factor 9944,9379 is 113.
Lets's calculate LCM of 614,1122
| 2 | 614, 1122 |
| 307, 561 |
∴ So the LCM of the given numbers is 2 x 307 x 561 = 344454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/344454
Therefore, the GCF of Fractions 9944/614,9379/1122 is 113/344454
Least Common Multiple of 614,1122 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 614,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,1122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,1122) x common factors =2 x 1 = 2
LCM(614,1122) = ( 614 × 1122 ) / 2
LCM(614,1122) = 688908 / 2
LCM(614,1122) = 344454
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FAQs on GCF of Fractions of 9944/614, 9379/1122
1. What is the HCF of 9944,9379?
The HCF of 9944,9379 is 113
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 9944/614, 9379/1122?
Answer: GCF of Numerators as per given numbers 9944/614, 9379/1122 is
GCF of Numerators i.e. for 9944,9379 is 113
LCM of denominators i.e. for 614,1122 is 344454.
Thus, GCF of Fractions is 113/344454.Finally, GCF of Fractions for 9944/614, 9379/1122 is 113/344454.