Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/834,2731/974
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 839,2731
Greatest Common Factor of Numerators i.e. GCF of 839,2731 is 1 .
LCM of Denominators means LCM of 834,974 as per the given fractions.
LCM of 834,974 is 406158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,2731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 2731
List of positive integer factors of 2731 that divides 2731 without a remainder.
1,2731
Greatest Common Factor
We found the factors 839,2731 . The biggest common factor number is the GCF number.
So the greatest common factor 839,2731 is 1.
Lets's calculate LCM of 834,974
2 | 834, 974 |
417, 487 |
∴ So the LCM of the given numbers is 2 x 417 x 487 = 406158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406158
Therefore, the GCF of Fractions 839/834,2731/974 is 1/406158
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 834,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,974) x common factors =2 x 1 = 2
LCM(834,974) = ( 834 × 974 ) / 2
LCM(834,974) = 812316 / 2
LCM(834,974) = 406158
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 839/834, 2731/974?
Answer: GCF of Numerators as per given numbers 839/834, 2731/974 is
GCF of Numerators i.e. for 839,2731 is 1
LCM of denominators i.e. for 834,974 is 406158.
Thus, GCF of Fractions is 1/406158.Finally, GCF of Fractions for 839/834, 2731/974 is 1/406158.