Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8927/888,8667/2963
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 8927,8667
Greatest Common Factor of Numerators i.e. GCF of 8927,8667 is 1 .
LCM of Denominators means LCM of 888,2963 as per the given fractions.
LCM of 888,2963 is 2631144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8927,8667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8927
List of positive integer factors of 8927 that divides 8927 without a remainder.
1,79,113,8927
Factors of 8667
List of positive integer factors of 8667 that divides 8667 without a remainder.
1,3,9,27,81,107,321,963,2889,8667
Greatest Common Factor
We found the factors 8927,8667 . The biggest common factor number is the GCF number.
So the greatest common factor 8927,8667 is 1.
Lets's calculate LCM of 888,2963
Given numbers has no common factors except 1. So, there LCM is their product i.e 2631144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2631144
Therefore, the GCF of Fractions 8927/888,8667/2963 is 1/2631144
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 888,2963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,2963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,2963) x common factors =1 x 1 = 1
LCM(888,2963) = ( 888 × 2963 ) / 1
LCM(888,2963) = 2631144 / 1
LCM(888,2963) = 2631144
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 8927/888, 8667/2963?
Answer: GCF of Numerators as per given numbers 8927/888, 8667/2963 is
GCF of Numerators i.e. for 8927,8667 is 1
LCM of denominators i.e. for 888,2963 is 2631144.
Thus, GCF of Fractions is 1/2631144.Finally, GCF of Fractions for 8927/888, 8667/2963 is 1/2631144.