Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6742/773,8853/147
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 6742,8853
Greatest Common Factor of Numerators i.e. GCF of 6742,8853 is 1 .
LCM of Denominators means LCM of 773,147 as per the given fractions.
LCM of 773,147 is 113631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6742,8853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6742
List of positive integer factors of 6742 that divides 6742 without a remainder.
1,2,3371,6742
Factors of 8853
List of positive integer factors of 8853 that divides 8853 without a remainder.
1,3,13,39,227,681,2951,8853
Greatest Common Factor
We found the factors 6742,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 6742,8853 is 1.
Lets's calculate LCM of 773,147
Given numbers has no common factors except 1. So, there LCM is their product i.e 113631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113631
Therefore, the GCF of Fractions 6742/773,8853/147 is 1/113631
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 773,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,147) x common factors =1 x 1 = 1
LCM(773,147) = ( 773 × 147 ) / 1
LCM(773,147) = 113631 / 1
LCM(773,147) = 113631
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 6742/773, 8853/147?
Answer: GCF of Numerators as per given numbers 6742/773, 8853/147 is
GCF of Numerators i.e. for 6742,8853 is 1
LCM of denominators i.e. for 773,147 is 113631.
Thus, GCF of Fractions is 1/113631.Finally, GCF of Fractions for 6742/773, 8853/147 is 1/113631.