Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2631/919,7706/4155
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 2631,7706
Greatest Common Factor of Numerators i.e. GCF of 2631,7706 is 1 .
LCM of Denominators means LCM of 919,4155 as per the given fractions.
LCM of 919,4155 is 3818445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2631,7706
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2631
List of positive integer factors of 2631 that divides 2631 without a remainder.
1,3,877,2631
Factors of 7706
List of positive integer factors of 7706 that divides 7706 without a remainder.
1,2,3853,7706
Greatest Common Factor
We found the factors 2631,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,7706 is 1.
Lets's calculate LCM of 919,4155
Given numbers has no common factors except 1. So, there LCM is their product i.e 3818445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3818445
Therefore, the GCF of Fractions 2631/919,7706/4155 is 1/3818445
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 919,4155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,4155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,4155) x common factors =1 x 1 = 1
LCM(919,4155) = ( 919 × 4155 ) / 1
LCM(919,4155) = 3818445 / 1
LCM(919,4155) = 3818445
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 2631/919, 7706/4155?
Answer: GCF of Numerators as per given numbers 2631/919, 7706/4155 is
GCF of Numerators i.e. for 2631,7706 is 1
LCM of denominators i.e. for 919,4155 is 3818445.
Thus, GCF of Fractions is 1/3818445.Finally, GCF of Fractions for 2631/919, 7706/4155 is 1/3818445.