Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/541,8137/8236
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 910,8137
Greatest Common Factor of Numerators i.e. GCF of 910,8137 is 1 .
LCM of Denominators means LCM of 541,8236 as per the given fractions.
LCM of 541,8236 is 4455676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 910,8137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 8137
List of positive integer factors of 8137 that divides 8137 without a remainder.
1,79,103,8137
Greatest Common Factor
We found the factors 910,8137 . The biggest common factor number is the GCF number.
So the greatest common factor 910,8137 is 1.
Lets's calculate LCM of 541,8236
Given numbers has no common factors except 1. So, there LCM is their product i.e 4455676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4455676
Therefore, the GCF of Fractions 910/541,8137/8236 is 1/4455676
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 541,8236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,8236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,8236) x common factors =1 x 1 = 1
LCM(541,8236) = ( 541 × 8236 ) / 1
LCM(541,8236) = 4455676 / 1
LCM(541,8236) = 4455676
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 910/541, 8137/8236?
Answer: GCF of Numerators as per given numbers 910/541, 8137/8236 is
GCF of Numerators i.e. for 910,8137 is 1
LCM of denominators i.e. for 541,8236 is 4455676.
Thus, GCF of Fractions is 1/4455676.Finally, GCF of Fractions for 910/541, 8137/8236 is 1/4455676.