Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7665/101,7912/9751
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 7665,7912
Greatest Common Factor of Numerators i.e. GCF of 7665,7912 is 1 .
LCM of Denominators means LCM of 101,9751 as per the given fractions.
LCM of 101,9751 is 984851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7665,7912
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7665
List of positive integer factors of 7665 that divides 7665 without a remainder.
1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Factors of 7912
List of positive integer factors of 7912 that divides 7912 without a remainder.
1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912
Greatest Common Factor
We found the factors 7665,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,7912 is 1.
Lets's calculate LCM of 101,9751
Given numbers has no common factors except 1. So, there LCM is their product i.e 984851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/984851
Therefore, the GCF of Fractions 7665/101,7912/9751 is 1/984851
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 101,9751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,9751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,9751) x common factors =1 x 1 = 1
LCM(101,9751) = ( 101 × 9751 ) / 1
LCM(101,9751) = 984851 / 1
LCM(101,9751) = 984851
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 7665/101, 7912/9751?
Answer: GCF of Numerators as per given numbers 7665/101, 7912/9751 is
GCF of Numerators i.e. for 7665,7912 is 1
LCM of denominators i.e. for 101,9751 is 984851.
Thus, GCF of Fractions is 1/984851.Finally, GCF of Fractions for 7665/101, 7912/9751 is 1/984851.