Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9569/137,8201/6517
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 9569,8201
Greatest Common Factor of Numerators i.e. GCF of 9569,8201 is 1 .
LCM of Denominators means LCM of 137,6517 as per the given fractions.
LCM of 137,6517 is 892829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9569,8201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9569
List of positive integer factors of 9569 that divides 9569 without a remainder.
1,7,1367,9569
Factors of 8201
List of positive integer factors of 8201 that divides 8201 without a remainder.
1,59,139,8201
Greatest Common Factor
We found the factors 9569,8201 . The biggest common factor number is the GCF number.
So the greatest common factor 9569,8201 is 1.
Lets's calculate LCM of 137,6517
Given numbers has no common factors except 1. So, there LCM is their product i.e 892829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/892829
Therefore, the GCF of Fractions 9569/137,8201/6517 is 1/892829
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 137,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,6517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,6517) x common factors =1 x 1 = 1
LCM(137,6517) = ( 137 × 6517 ) / 1
LCM(137,6517) = 892829 / 1
LCM(137,6517) = 892829
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 9569/137, 8201/6517?
Answer: GCF of Numerators as per given numbers 9569/137, 8201/6517 is
GCF of Numerators i.e. for 9569,8201 is 1
LCM of denominators i.e. for 137,6517 is 892829.
Thus, GCF of Fractions is 1/892829.Finally, GCF of Fractions for 9569/137, 8201/6517 is 1/892829.