Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8746/17,9550/866
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 8746,9550
Greatest Common Factor of Numerators i.e. GCF of 8746,9550 is 2 .
LCM of Denominators means LCM of 17,866 as per the given fractions.
LCM of 17,866 is 14722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8746,9550
2 | 8746, 9550 |
4373, 4775 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8746
List of positive integer factors of 8746 that divides 8746 without a remainder.
1,2,4373,8746
Factors of 9550
List of positive integer factors of 9550 that divides 9550 without a remainder.
1,2,5,10,25,50,191,382,955,1910,4775,9550
Greatest Common Factor
We found the factors 8746,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 8746,9550 is 2.
Lets's calculate LCM of 17,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 14722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14722
Therefore, the GCF of Fractions 8746/17,9550/866 is 2/14722
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 17,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,866) x common factors =1 x 1 = 1
LCM(17,866) = ( 17 × 866 ) / 1
LCM(17,866) = 14722 / 1
LCM(17,866) = 14722
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 8746/17, 9550/866?
Answer: GCF of Numerators as per given numbers 8746/17, 9550/866 is
GCF of Numerators i.e. for 8746,9550 is 2
LCM of denominators i.e. for 17,866 is 14722.
Thus, GCF of Fractions is 2/14722.Finally, GCF of Fractions for 8746/17, 9550/866 is 2/14722.