Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9611/979,5046/8103
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 9611,5046
Greatest Common Factor of Numerators i.e. GCF of 9611,5046 is 1 .
LCM of Denominators means LCM of 979,8103 as per the given fractions.
LCM of 979,8103 is 7932837 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9611,5046
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9611
List of positive integer factors of 9611 that divides 9611 without a remainder.
1,7,1373,9611
Factors of 5046
List of positive integer factors of 5046 that divides 5046 without a remainder.
1,2,3,6,29,58,87,174,841,1682,2523,5046
Greatest Common Factor
We found the factors 9611,5046 . The biggest common factor number is the GCF number.
So the greatest common factor 9611,5046 is 1.
Lets's calculate LCM of 979,8103
Given numbers has no common factors except 1. So, there LCM is their product i.e 7932837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7932837
Therefore, the GCF of Fractions 9611/979,5046/8103 is 1/7932837
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 979,8103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,8103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,8103) x common factors =1 x 1 = 1
LCM(979,8103) = ( 979 × 8103 ) / 1
LCM(979,8103) = 7932837 / 1
LCM(979,8103) = 7932837
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 9611/979, 5046/8103?
Answer: GCF of Numerators as per given numbers 9611/979, 5046/8103 is
GCF of Numerators i.e. for 9611,5046 is 1
LCM of denominators i.e. for 979,8103 is 7932837.
Thus, GCF of Fractions is 1/7932837.Finally, GCF of Fractions for 9611/979, 5046/8103 is 1/7932837.