Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7916/89,9164/374
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7916,9164
Greatest Common Factor of Numerators i.e. GCF of 7916,9164 is 4 .
LCM of Denominators means LCM of 89,374 as per the given fractions.
LCM of 89,374 is 33286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7916,9164
2 | 7916, 9164 |
2 | 3958, 4582 |
1979, 2291 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7916
List of positive integer factors of 7916 that divides 7916 without a remainder.
1,2,4,1979,3958,7916
Factors of 9164
List of positive integer factors of 9164 that divides 9164 without a remainder.
1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 7916,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 7916,9164 is 4.
Lets's calculate LCM of 89,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 33286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33286
Therefore, the GCF of Fractions 7916/89,9164/374 is 4/33286
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 89,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,374) x common factors =1 x 1 = 1
LCM(89,374) = ( 89 × 374 ) / 1
LCM(89,374) = 33286 / 1
LCM(89,374) = 33286
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7916/89, 9164/374?
Answer: GCF of Numerators as per given numbers 7916/89, 9164/374 is
GCF of Numerators i.e. for 7916,9164 is 4
LCM of denominators i.e. for 89,374 is 33286.
Thus, GCF of Fractions is 4/33286.Finally, GCF of Fractions for 7916/89, 9164/374 is 4/33286.