GCF of 6995/418, 7712/2665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6995/418, 7712/2665 i.e 1/1113970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6995/418, 7712/2665.
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 6995/418,7712/2665?
Given fractions are 6995/418,7712/2665
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 6995/418,7712/2665, numerators are 6995,7712
Denominators are 418,2665
The GCF of 6995,7712 is 1 .
LCM of 418,2665 is 1113970.
The greatest common factor of 6995/418,7712/2665 = [GCF of 6995,7712]/[LCM of 418,2665]= 1/1113970
Therefore, the GCF of 6995/418,7712/2665 is 1/1113970.
To find the highest common factor of 6995,7712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6995 are 1, 5, 1399, 6995
The factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712
The HCF of 6995,7712 is 1.
Lets's calculate GCF of 6995,7712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6995,7712 By Matching Biggest Common Factor Method
Now, list down the factors of 6995
:1,5,1399,6995
Now, list down the factors of 7712
:1,2,4,8,16,32,241,482,964,1928,3856,7712
Greatest Common Factor
We found the factors 6995,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 6995,7712 is 1.
Lets's calculate LCM of 418,2665
Given numbers has no common factors except 1. So, there LCM is their product i.e 1113970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113970
Therefore, the GCF of Fractions 6995/418,7712/2665 is 1/1113970
Least Common Multiple of 418,2665 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 418,2665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,2665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,2665) x common factors =1 x 1 = 1
LCM(418,2665) = ( 418 × 2665 ) / 1
LCM(418,2665) = 1113970 / 1
LCM(418,2665) = 1113970
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FAQs on GCF of Fractions of 6995/418, 7712/2665
1. What is the HCF of 6995,7712?
The HCF of 6995,7712 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 6995/418, 7712/2665?
Answer: GCF of Numerators as per given numbers 6995/418, 7712/2665 is
GCF of Numerators i.e. for 6995,7712 is 1
LCM of denominators i.e. for 418,2665 is 1113970.
Thus, GCF of Fractions is 1/1113970.Finally, GCF of Fractions for 6995/418, 7712/2665 is 1/1113970.