Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8942/11,1167/931
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 8942,1167
Greatest Common Factor of Numerators i.e. GCF of 8942,1167 is 1 .
LCM of Denominators means LCM of 11,931 as per the given fractions.
LCM of 11,931 is 10241 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8942,1167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8942
List of positive integer factors of 8942 that divides 8942 without a remainder.
1,2,17,34,263,526,4471,8942
Factors of 1167
List of positive integer factors of 1167 that divides 1167 without a remainder.
1,3,389,1167
Greatest Common Factor
We found the factors 8942,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 8942,1167 is 1.
Lets's calculate LCM of 11,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 10241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10241
Therefore, the GCF of Fractions 8942/11,1167/931 is 1/10241
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 11,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,931) x common factors =1 x 1 = 1
LCM(11,931) = ( 11 × 931 ) / 1
LCM(11,931) = 10241 / 1
LCM(11,931) = 10241
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 8942/11, 1167/931?
Answer: GCF of Numerators as per given numbers 8942/11, 1167/931 is
GCF of Numerators i.e. for 8942,1167 is 1
LCM of denominators i.e. for 11,931 is 10241.
Thus, GCF of Fractions is 1/10241.Finally, GCF of Fractions for 8942/11, 1167/931 is 1/10241.