GCF of 4679/267, 7816/2198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4679/267, 7816/2198 i.e 1/586866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4679/267, 7816/2198.
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 4679/267,7816/2198?
Given fractions are 4679/267,7816/2198
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 4679/267,7816/2198, numerators are 4679,7816
Denominators are 267,2198
The GCF of 4679,7816 is 1 .
LCM of 267,2198 is 586866.
The greatest common factor of 4679/267,7816/2198 = [GCF of 4679,7816]/[LCM of 267,2198]= 1/586866
Therefore, the GCF of 4679/267,7816/2198 is 1/586866.
To find the highest common factor of 4679,7816, we have to find the factors of both numbers and list the highest common factor.
The factors of 4679 are 1, 4679
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The HCF of 4679,7816 is 1.
Lets's calculate GCF of 4679,7816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4679,7816 By Matching Biggest Common Factor Method
Now, list down the factors of 4679
:1,4679
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Greatest Common Factor
We found the factors 4679,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 4679,7816 is 1.
Lets's calculate LCM of 267,2198
Given numbers has no common factors except 1. So, there LCM is their product i.e 586866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586866
Therefore, the GCF of Fractions 4679/267,7816/2198 is 1/586866
Least Common Multiple of 267,2198 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 267,2198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,2198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,2198) x common factors =1 x 1 = 1
LCM(267,2198) = ( 267 × 2198 ) / 1
LCM(267,2198) = 586866 / 1
LCM(267,2198) = 586866
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4679/267, 7816/2198
1. What is the HCF of 4679,7816?
The HCF of 4679,7816 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 4679/267, 7816/2198?
Answer: GCF of Numerators as per given numbers 4679/267, 7816/2198 is
GCF of Numerators i.e. for 4679,7816 is 1
LCM of denominators i.e. for 267,2198 is 586866.
Thus, GCF of Fractions is 1/586866.Finally, GCF of Fractions for 4679/267, 7816/2198 is 1/586866.