Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8942/419,9529/8685
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 8942,9529
Greatest Common Factor of Numerators i.e. GCF of 8942,9529 is 1 .
LCM of Denominators means LCM of 419,8685 as per the given fractions.
LCM of 419,8685 is 3639015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8942,9529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8942
List of positive integer factors of 8942 that divides 8942 without a remainder.
1,2,17,34,263,526,4471,8942
Factors of 9529
List of positive integer factors of 9529 that divides 9529 without a remainder.
1,13,733,9529
Greatest Common Factor
We found the factors 8942,9529 . The biggest common factor number is the GCF number.
So the greatest common factor 8942,9529 is 1.
Lets's calculate LCM of 419,8685
Given numbers has no common factors except 1. So, there LCM is their product i.e 3639015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3639015
Therefore, the GCF of Fractions 8942/419,9529/8685 is 1/3639015
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 419,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,8685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,8685) x common factors =1 x 1 = 1
LCM(419,8685) = ( 419 × 8685 ) / 1
LCM(419,8685) = 3639015 / 1
LCM(419,8685) = 3639015
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 8942/419, 9529/8685?
Answer: GCF of Numerators as per given numbers 8942/419, 9529/8685 is
GCF of Numerators i.e. for 8942,9529 is 1
LCM of denominators i.e. for 419,8685 is 3639015.
Thus, GCF of Fractions is 1/3639015.Finally, GCF of Fractions for 8942/419, 9529/8685 is 1/3639015.