GCF of 7864/617, 6358/7976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7864/617, 6358/7976 i.e 2/4921192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7864/617, 6358/7976.
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 7864/617,6358/7976?
Given fractions are 7864/617,6358/7976
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 7864/617,6358/7976, numerators are 7864,6358
Denominators are 617,7976
The GCF of 7864,6358 is 2 .
LCM of 617,7976 is 4921192.
The greatest common factor of 7864/617,6358/7976 = [GCF of 7864,6358]/[LCM of 617,7976]= 2/4921192
Therefore, the GCF of 7864/617,6358/7976 is 2/4921192.
To find the highest common factor of 7864,6358, we have to find the factors of both numbers and list the highest common factor.
The factors of 7864 are 1, 2, 4, 8, 983, 1966, 3932, 7864
The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358
The HCF of 7864,6358 is 2.
Lets's calculate GCF of 7864,6358
| 2 | 7864, 6358 |
| 3932, 3179 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7864,6358 By Matching Biggest Common Factor Method
Now, list down the factors of 7864
:1,2,4,8,983,1966,3932,7864
Now, list down the factors of 6358
:1,2,11,17,22,34,187,289,374,578,3179,6358
Greatest Common Factor
We found the factors 7864,6358 . The biggest common factor number is the GCF number.
So the greatest common factor 7864,6358 is 2.
Lets's calculate LCM of 617,7976
Given numbers has no common factors except 1. So, there LCM is their product i.e 4921192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4921192
Therefore, the GCF of Fractions 7864/617,6358/7976 is 2/4921192
Least Common Multiple of 617,7976 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 617,7976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,7976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,7976) x common factors =1 x 1 = 1
LCM(617,7976) = ( 617 × 7976 ) / 1
LCM(617,7976) = 4921192 / 1
LCM(617,7976) = 4921192
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FAQs on GCF of Fractions of 7864/617, 6358/7976
1. What is the HCF of 7864,6358?
The HCF of 7864,6358 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 7864/617, 6358/7976?
Answer: GCF of Numerators as per given numbers 7864/617, 6358/7976 is
GCF of Numerators i.e. for 7864,6358 is 2
LCM of denominators i.e. for 617,7976 is 4921192.
Thus, GCF of Fractions is 2/4921192.Finally, GCF of Fractions for 7864/617, 6358/7976 is 2/4921192.