GCF of 7912/291, 9932/2451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7912/291, 9932/2451 i.e 4/237747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7912/291, 9932/2451.
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 7912/291,9932/2451?
Given fractions are 7912/291,9932/2451
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 7912/291,9932/2451, numerators are 7912,9932
Denominators are 291,2451
The GCF of 7912,9932 is 4 .
LCM of 291,2451 is 237747.
The greatest common factor of 7912/291,9932/2451 = [GCF of 7912,9932]/[LCM of 291,2451]= 4/237747
Therefore, the GCF of 7912/291,9932/2451 is 4/237747.
To find the highest common factor of 7912,9932, we have to find the factors of both numbers and list the highest common factor.
The factors of 7912 are 1, 2, 4, 8, 23, 43, 46, 86, 92, 172, 184, 344, 989, 1978, 3956, 7912
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The HCF of 7912,9932 is 4.
Lets's calculate GCF of 7912,9932
| 2 | 7912, 9932 |
| 2 | 3956, 4966 |
| 1978, 2483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7912,9932 By Matching Biggest Common Factor Method
Now, list down the factors of 7912
:1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Greatest Common Factor
We found the factors 7912,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 7912,9932 is 4.
Lets's calculate LCM of 291,2451
| 3 | 291, 2451 |
| 97, 817 |
∴ So the LCM of the given numbers is 3 x 97 x 817 = 237747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/237747
Therefore, the GCF of Fractions 7912/291,9932/2451 is 4/237747
Least Common Multiple of 291,2451 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 291,2451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,2451) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,2451) x common factors =3 x 1 = 3
LCM(291,2451) = ( 291 × 2451 ) / 3
LCM(291,2451) = 713241 / 3
LCM(291,2451) = 237747
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FAQs on GCF of Fractions of 7912/291, 9932/2451
1. What is the HCF of 7912,9932?
The HCF of 7912,9932 is 4
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 7912/291, 9932/2451?
Answer: GCF of Numerators as per given numbers 7912/291, 9932/2451 is
GCF of Numerators i.e. for 7912,9932 is 4
LCM of denominators i.e. for 291,2451 is 237747.
Thus, GCF of Fractions is 4/237747.Finally, GCF of Fractions for 7912/291, 9932/2451 is 4/237747.