Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/81,137/6198
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 790,137
Greatest Common Factor of Numerators i.e. GCF of 790,137 is 1 .
LCM of Denominators means LCM of 81,6198 as per the given fractions.
LCM of 81,6198 is 167346 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 790,137 . The biggest common factor number is the GCF number.
So the greatest common factor 790,137 is 1.
Lets's calculate LCM of 81,6198
3 | 81, 6198 |
27, 2066 |
∴ So the LCM of the given numbers is 3 x 27 x 2066 = 167346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167346
Therefore, the GCF of Fractions 790/81,137/6198 is 1/167346
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 81,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,6198) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,6198) x common factors =3 x 1 = 3
LCM(81,6198) = ( 81 × 6198 ) / 3
LCM(81,6198) = 502038 / 3
LCM(81,6198) = 167346
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 790/81, 137/6198?
Answer: GCF of Numerators as per given numbers 790/81, 137/6198 is
GCF of Numerators i.e. for 790,137 is 1
LCM of denominators i.e. for 81,6198 is 167346.
Thus, GCF of Fractions is 1/167346.Finally, GCF of Fractions for 790/81, 137/6198 is 1/167346.