GCF of 9676/922, 1107/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9676/922, 1107/694 i.e 41/319934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9676/922, 1107/694.
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 9676/922,1107/694?
Given fractions are 9676/922,1107/694
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 9676/922,1107/694, numerators are 9676,1107
Denominators are 922,694
The GCF of 9676,1107 is 41 .
LCM of 922,694 is 319934.
The greatest common factor of 9676/922,1107/694 = [GCF of 9676,1107]/[LCM of 922,694]= 41/319934
Therefore, the GCF of 9676/922,1107/694 is 41/319934.
To find the highest common factor of 9676,1107, we have to find the factors of both numbers and list the highest common factor.
The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676
The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107
The HCF of 9676,1107 is 41.
Lets's calculate GCF of 9676,1107
| 41 | 9676, 1107 |
| 236, 27 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 9676,1107 By Matching Biggest Common Factor Method
Now, list down the factors of 9676
:1,2,4,41,59,82,118,164,236,2419,4838,9676
Now, list down the factors of 1107
:1,3,9,27,41,123,369,1107
Greatest Common Factor
We found the factors 9676,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 9676,1107 is 41.
Lets's calculate LCM of 922,694
| 2 | 922, 694 |
| 461, 347 |
∴ So the LCM of the given numbers is 2 x 461 x 347 = 319934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/319934
Therefore, the GCF of Fractions 9676/922,1107/694 is 41/319934
Least Common Multiple of 922,694 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 922,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,694) x common factors =2 x 1 = 2
LCM(922,694) = ( 922 × 694 ) / 2
LCM(922,694) = 639868 / 2
LCM(922,694) = 319934
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FAQs on GCF of Fractions of 9676/922, 1107/694
1. What is the HCF of 9676,1107?
The HCF of 9676,1107 is 41
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 9676/922, 1107/694?
Answer: GCF of Numerators as per given numbers 9676/922, 1107/694 is
GCF of Numerators i.e. for 9676,1107 is 41
LCM of denominators i.e. for 922,694 is 319934.
Thus, GCF of Fractions is 41/319934.Finally, GCF of Fractions for 9676/922, 1107/694 is 41/319934.