GCF of 7619/291, 7966/9752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7619/291, 7966/9752 i.e 1/2837832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7619/291, 7966/9752.
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 7619/291,7966/9752?
Given fractions are 7619/291,7966/9752
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 7619/291,7966/9752, numerators are 7619,7966
Denominators are 291,9752
The GCF of 7619,7966 is 1 .
LCM of 291,9752 is 2837832.
The greatest common factor of 7619/291,7966/9752 = [GCF of 7619,7966]/[LCM of 291,9752]= 1/2837832
Therefore, the GCF of 7619/291,7966/9752 is 1/2837832.
To find the highest common factor of 7619,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 7619 are 1, 19, 401, 7619
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 7619,7966 is 1.
Lets's calculate GCF of 7619,7966
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7619,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 7619
:1,19,401,7619
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 7619,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 7619,7966 is 1.
Lets's calculate LCM of 291,9752
Given numbers has no common factors except 1. So, there LCM is their product i.e 2837832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2837832
Therefore, the GCF of Fractions 7619/291,7966/9752 is 1/2837832
Least Common Multiple of 291,9752 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 291,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,9752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,9752) x common factors =1 x 1 = 1
LCM(291,9752) = ( 291 × 9752 ) / 1
LCM(291,9752) = 2837832 / 1
LCM(291,9752) = 2837832
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FAQs on GCF of Fractions of 7619/291, 7966/9752
1. What is the HCF of 7619,7966?
The HCF of 7619,7966 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 7619/291, 7966/9752?
Answer: GCF of Numerators as per given numbers 7619/291, 7966/9752 is
GCF of Numerators i.e. for 7619,7966 is 1
LCM of denominators i.e. for 291,9752 is 2837832.
Thus, GCF of Fractions is 1/2837832.Finally, GCF of Fractions for 7619/291, 7966/9752 is 1/2837832.