Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7832/795,5236/249
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 7832,5236
Greatest Common Factor of Numerators i.e. GCF of 7832,5236 is 44 .
LCM of Denominators means LCM of 795,249 as per the given fractions.
LCM of 795,249 is 65985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7832,5236
2 | 7832, 5236 |
2 | 3916, 2618 |
11 | 1958, 1309 |
178, 119 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Factors of 7832
List of positive integer factors of 7832 that divides 7832 without a remainder.
1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Factors of 5236
List of positive integer factors of 5236 that divides 5236 without a remainder.
1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236
Greatest Common Factor
We found the factors 7832,5236 . The biggest common factor number is the GCF number.
So the greatest common factor 7832,5236 is 44.
Lets's calculate LCM of 795,249
3 | 795, 249 |
265, 83 |
∴ So the LCM of the given numbers is 3 x 265 x 83 = 65985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/65985
Therefore, the GCF of Fractions 7832/795,5236/249 is 44/65985
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 795,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,249) x common factors =3 x 1 = 3
LCM(795,249) = ( 795 × 249 ) / 3
LCM(795,249) = 197955 / 3
LCM(795,249) = 65985
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 7832/795, 5236/249?
Answer: GCF of Numerators as per given numbers 7832/795, 5236/249 is
GCF of Numerators i.e. for 7832,5236 is 44
LCM of denominators i.e. for 795,249 is 65985.
Thus, GCF of Fractions is 44/65985.Finally, GCF of Fractions for 7832/795, 5236/249 is 44/65985.