Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9259/537,3417/8093
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 9259,3417
Greatest Common Factor of Numerators i.e. GCF of 9259,3417 is 1 .
LCM of Denominators means LCM of 537,8093 as per the given fractions.
LCM of 537,8093 is 4345941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9259,3417
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9259
List of positive integer factors of 9259 that divides 9259 without a remainder.
1,47,197,9259
Factors of 3417
List of positive integer factors of 3417 that divides 3417 without a remainder.
1,3,17,51,67,201,1139,3417
Greatest Common Factor
We found the factors 9259,3417 . The biggest common factor number is the GCF number.
So the greatest common factor 9259,3417 is 1.
Lets's calculate LCM of 537,8093
Given numbers has no common factors except 1. So, there LCM is their product i.e 4345941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4345941
Therefore, the GCF of Fractions 9259/537,3417/8093 is 1/4345941
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 537,8093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,8093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,8093) x common factors =1 x 1 = 1
LCM(537,8093) = ( 537 × 8093 ) / 1
LCM(537,8093) = 4345941 / 1
LCM(537,8093) = 4345941
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 9259/537, 3417/8093?
Answer: GCF of Numerators as per given numbers 9259/537, 3417/8093 is
GCF of Numerators i.e. for 9259,3417 is 1
LCM of denominators i.e. for 537,8093 is 4345941.
Thus, GCF of Fractions is 1/4345941.Finally, GCF of Fractions for 9259/537, 3417/8093 is 1/4345941.