GCF of 3959/984, 2965/7881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3959/984, 2965/7881 i.e 1/2584968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3959/984, 2965/7881.
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 3959/984,2965/7881?
Given fractions are 3959/984,2965/7881
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 3959/984,2965/7881, numerators are 3959,2965
Denominators are 984,7881
The GCF of 3959,2965 is 1 .
LCM of 984,7881 is 2584968.
The greatest common factor of 3959/984,2965/7881 = [GCF of 3959,2965]/[LCM of 984,7881]= 1/2584968
Therefore, the GCF of 3959/984,2965/7881 is 1/2584968.
To find the highest common factor of 3959,2965, we have to find the factors of both numbers and list the highest common factor.
The factors of 3959 are 1, 37, 107, 3959
The factors of 2965 are 1, 5, 593, 2965
The HCF of 3959,2965 is 1.
Lets's calculate GCF of 3959,2965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3959,2965 By Matching Biggest Common Factor Method
Now, list down the factors of 3959
:1,37,107,3959
Now, list down the factors of 2965
:1,5,593,2965
Greatest Common Factor
We found the factors 3959,2965 . The biggest common factor number is the GCF number.
So the greatest common factor 3959,2965 is 1.
Lets's calculate LCM of 984,7881
| 3 | 984, 7881 |
| 328, 2627 |
∴ So the LCM of the given numbers is 3 x 328 x 2627 = 2584968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2584968
Therefore, the GCF of Fractions 3959/984,2965/7881 is 1/2584968
Least Common Multiple of 984,7881 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 984,7881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,7881) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,7881) x common factors =3 x 1 = 3
LCM(984,7881) = ( 984 × 7881 ) / 3
LCM(984,7881) = 7754904 / 3
LCM(984,7881) = 2584968
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FAQs on GCF of Fractions of 3959/984, 2965/7881
1. What is the HCF of 3959,2965?
The HCF of 3959,2965 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 3959/984, 2965/7881?
Answer: GCF of Numerators as per given numbers 3959/984, 2965/7881 is
GCF of Numerators i.e. for 3959,2965 is 1
LCM of denominators i.e. for 984,7881 is 2584968.
Thus, GCF of Fractions is 1/2584968.Finally, GCF of Fractions for 3959/984, 2965/7881 is 1/2584968.