Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/37,58/687,132/630
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 82,58,132
Greatest Common Factor of Numerators i.e. GCF of 82,58,132 is 2 .
LCM of Denominators means LCM of 37,687,630 as per the given fractions.
LCM of 37,687,630 is 5337990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,58,132
2 | 82, 58, 132 |
41, 29, 66 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 82,58,132 . The biggest common factor number is the GCF number.
So the greatest common factor 82,58,132 is 2.
Lets's calculate LCM of 37,687,630
3 | 37, 687, 630 |
37, 229, 210 |
∴ So the LCM of the given numbers is 3 x 37 x 229 x 210 = 5337990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5337990
Therefore, the GCF of Fractions 82/37,58/687,132/630 is 2/5337990
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 37,687,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,687,630) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(37,687,630) x common factors =1 x 3 = 3
LCM(37,687,630) = ( 37 × 687 × 630 ) / 3
LCM(37,687,630) = 16013970 / 3
LCM(37,687,630) = 5337990
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 82/37, 58/687, 132/630?
Answer: GCF of Numerators as per given numbers 82/37, 58/687, 132/630 is
GCF of Numerators i.e. for 82,58,132 is 2
LCM of denominators i.e. for 37,687,630 is 5337990.
Thus, GCF of Fractions is 2/5337990.Finally, GCF of Fractions for 82/37, 58/687, 132/630 is 2/5337990.