Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/869,9257/595
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 422,9257
Greatest Common Factor of Numerators i.e. GCF of 422,9257 is 1 .
LCM of Denominators means LCM of 869,595 as per the given fractions.
LCM of 869,595 is 517055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 422,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 9257
List of positive integer factors of 9257 that divides 9257 without a remainder.
1,9257
Greatest Common Factor
We found the factors 422,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 422,9257 is 1.
Lets's calculate LCM of 869,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 517055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517055
Therefore, the GCF of Fractions 422/869,9257/595 is 1/517055
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 869,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,595) x common factors =1 x 1 = 1
LCM(869,595) = ( 869 × 595 ) / 1
LCM(869,595) = 517055 / 1
LCM(869,595) = 517055
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 422/869, 9257/595?
Answer: GCF of Numerators as per given numbers 422/869, 9257/595 is
GCF of Numerators i.e. for 422,9257 is 1
LCM of denominators i.e. for 869,595 is 517055.
Thus, GCF of Fractions is 1/517055.Finally, GCF of Fractions for 422/869, 9257/595 is 1/517055.