Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7106/913,5736/9926
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 7106,5736
Greatest Common Factor of Numerators i.e. GCF of 7106,5736 is 2 .
LCM of Denominators means LCM of 913,9926 as per the given fractions.
LCM of 913,9926 is 9062438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7106,5736
2 | 7106, 5736 |
3553, 2868 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7106
List of positive integer factors of 7106 that divides 7106 without a remainder.
1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Factors of 5736
List of positive integer factors of 5736 that divides 5736 without a remainder.
1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Greatest Common Factor
We found the factors 7106,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,5736 is 2.
Lets's calculate LCM of 913,9926
Given numbers has no common factors except 1. So, there LCM is their product i.e 9062438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9062438
Therefore, the GCF of Fractions 7106/913,5736/9926 is 2/9062438
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 913,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,9926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,9926) x common factors =1 x 1 = 1
LCM(913,9926) = ( 913 × 9926 ) / 1
LCM(913,9926) = 9062438 / 1
LCM(913,9926) = 9062438
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 7106/913, 5736/9926?
Answer: GCF of Numerators as per given numbers 7106/913, 5736/9926 is
GCF of Numerators i.e. for 7106,5736 is 2
LCM of denominators i.e. for 913,9926 is 9062438.
Thus, GCF of Fractions is 2/9062438.Finally, GCF of Fractions for 7106/913, 5736/9926 is 2/9062438.