Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/38,7847/724
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 422,7847
Greatest Common Factor of Numerators i.e. GCF of 422,7847 is 1 .
LCM of Denominators means LCM of 38,724 as per the given fractions.
LCM of 38,724 is 13756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 422,7847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 7847
List of positive integer factors of 7847 that divides 7847 without a remainder.
1,7,19,59,133,413,1121,7847
Greatest Common Factor
We found the factors 422,7847 . The biggest common factor number is the GCF number.
So the greatest common factor 422,7847 is 1.
Lets's calculate LCM of 38,724
2 | 38, 724 |
19, 362 |
∴ So the LCM of the given numbers is 2 x 19 x 362 = 13756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13756
Therefore, the GCF of Fractions 422/38,7847/724 is 1/13756
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 38,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,724) x common factors =2 x 1 = 2
LCM(38,724) = ( 38 × 724 ) / 2
LCM(38,724) = 27512 / 2
LCM(38,724) = 13756
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 422/38, 7847/724?
Answer: GCF of Numerators as per given numbers 422/38, 7847/724 is
GCF of Numerators i.e. for 422,7847 is 1
LCM of denominators i.e. for 38,724 is 13756.
Thus, GCF of Fractions is 1/13756.Finally, GCF of Fractions for 422/38, 7847/724 is 1/13756.