Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/83,831/85,637/902
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 906,831,637
Greatest Common Factor of Numerators i.e. GCF of 906,831,637 is 1 .
LCM of Denominators means LCM of 83,85,902 as per the given fractions.
LCM of 83,85,902 is 6363610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,831,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 906,831,637 . The biggest common factor number is the GCF number.
So the greatest common factor 906,831,637 is 1.
Lets's calculate LCM of 83,85,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 6363610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6363610
Therefore, the GCF of Fractions 906/83,831/85,637/902 is 1/6363610
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 83,85,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,85,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,85,902) x common factors =1 x 1 = 1
LCM(83,85,902) = ( 83 × 85 × 902 ) / 1
LCM(83,85,902) = 6363610 / 1
LCM(83,85,902) = 6363610
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 906/83, 831/85, 637/902?
Answer: GCF of Numerators as per given numbers 906/83, 831/85, 637/902 is
GCF of Numerators i.e. for 906,831,637 is 1
LCM of denominators i.e. for 83,85,902 is 6363610.
Thus, GCF of Fractions is 1/6363610.Finally, GCF of Fractions for 906/83, 831/85, 637/902 is 1/6363610.