Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/404,7457/422
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 927,7457
Greatest Common Factor of Numerators i.e. GCF of 927,7457 is 1 .
LCM of Denominators means LCM of 404,422 as per the given fractions.
LCM of 404,422 is 85244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,7457
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 7457
List of positive integer factors of 7457 that divides 7457 without a remainder.
1,7457
Greatest Common Factor
We found the factors 927,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 927,7457 is 1.
Lets's calculate LCM of 404,422
2 | 404, 422 |
202, 211 |
∴ So the LCM of the given numbers is 2 x 202 x 211 = 85244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85244
Therefore, the GCF of Fractions 927/404,7457/422 is 1/85244
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 404,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,422) x common factors =2 x 1 = 2
LCM(404,422) = ( 404 × 422 ) / 2
LCM(404,422) = 170488 / 2
LCM(404,422) = 85244
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 927/404, 7457/422?
Answer: GCF of Numerators as per given numbers 927/404, 7457/422 is
GCF of Numerators i.e. for 927,7457 is 1
LCM of denominators i.e. for 404,422 is 85244.
Thus, GCF of Fractions is 1/85244.Finally, GCF of Fractions for 927/404, 7457/422 is 1/85244.