GCF of 7964/619, 9686/6657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7964/619, 9686/6657 i.e 2/4120683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7964/619, 9686/6657.
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 7964/619,9686/6657?
Given fractions are 7964/619,9686/6657
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 7964/619,9686/6657, numerators are 7964,9686
Denominators are 619,6657
The GCF of 7964,9686 is 2 .
LCM of 619,6657 is 4120683.
The greatest common factor of 7964/619,9686/6657 = [GCF of 7964,9686]/[LCM of 619,6657]= 2/4120683
Therefore, the GCF of 7964/619,9686/6657 is 2/4120683.
To find the highest common factor of 7964,9686, we have to find the factors of both numbers and list the highest common factor.
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The HCF of 7964,9686 is 2.
Lets's calculate GCF of 7964,9686
| 2 | 7964, 9686 |
| 3982, 4843 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7964,9686 By Matching Biggest Common Factor Method
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Greatest Common Factor
We found the factors 7964,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 7964,9686 is 2.
Lets's calculate LCM of 619,6657
Given numbers has no common factors except 1. So, there LCM is their product i.e 4120683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4120683
Therefore, the GCF of Fractions 7964/619,9686/6657 is 2/4120683
Least Common Multiple of 619,6657 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 619,6657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,6657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,6657) x common factors =1 x 1 = 1
LCM(619,6657) = ( 619 × 6657 ) / 1
LCM(619,6657) = 4120683 / 1
LCM(619,6657) = 4120683
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FAQs on GCF of Fractions of 7964/619, 9686/6657
1. What is the HCF of 7964,9686?
The HCF of 7964,9686 is 2
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 7964/619, 9686/6657?
Answer: GCF of Numerators as per given numbers 7964/619, 9686/6657 is
GCF of Numerators i.e. for 7964,9686 is 2
LCM of denominators i.e. for 619,6657 is 4120683.
Thus, GCF of Fractions is 2/4120683.Finally, GCF of Fractions for 7964/619, 9686/6657 is 2/4120683.