Use our free GCF of Fractions Calculator tool to compute the GCF of 6718/103, 9656/1208 i.e 2/124424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6718/103, 9656/1208.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6718/103,9656/1208
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 6718/103,9656/1208, numerators are 6718,9656
Denominators are 103,1208
The GCF of 6718,9656 is 2 .
LCM of 103,1208 is 124424.
The greatest common factor of 6718/103,9656/1208 = [GCF of 6718,9656]/[LCM of 103,1208]= 2/124424
Therefore, the GCF of 6718/103,9656/1208 is 2/124424.
To find the highest common factor of 6718,9656, we have to find the factors of both numbers and list the highest common factor.
The factors of 6718 are 1, 2, 3359, 6718
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The HCF of 6718,9656 is 2.
Lets's calculate GCF of 6718,9656
2 | 6718, 9656 |
3359, 4828 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6718
:1,2,3359,6718
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Greatest Common Factor
We found the factors 6718,9656 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,9656 is 2.
Lets's calculate LCM of 103,1208
Given numbers has no common factors except 1. So, there LCM is their product i.e 124424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124424
Therefore, the GCF of Fractions 6718/103,9656/1208 is 2/124424
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 103,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,1208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,1208) x common factors =1 x 1 = 1
LCM(103,1208) = ( 103 × 1208 ) / 1
LCM(103,1208) = 124424 / 1
LCM(103,1208) = 124424
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6718,9656?
The HCF of 6718,9656 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 6718/103, 9656/1208?
Answer: GCF of Numerators as per given numbers 6718/103, 9656/1208 is
GCF of Numerators i.e. for 6718,9656 is 2
LCM of denominators i.e. for 103,1208 is 124424.
Thus, GCF of Fractions is 2/124424.Finally, GCF of Fractions for 6718/103, 9656/1208 is 2/124424.