Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9535/679,9617/8762
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 9535,9617
Greatest Common Factor of Numerators i.e. GCF of 9535,9617 is 1 .
LCM of Denominators means LCM of 679,8762 as per the given fractions.
LCM of 679,8762 is 5949398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9535,9617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9535
List of positive integer factors of 9535 that divides 9535 without a remainder.
1,5,1907,9535
Factors of 9617
List of positive integer factors of 9617 that divides 9617 without a remainder.
1,59,163,9617
Greatest Common Factor
We found the factors 9535,9617 . The biggest common factor number is the GCF number.
So the greatest common factor 9535,9617 is 1.
Lets's calculate LCM of 679,8762
Given numbers has no common factors except 1. So, there LCM is their product i.e 5949398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5949398
Therefore, the GCF of Fractions 9535/679,9617/8762 is 1/5949398
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 679,8762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,8762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,8762) x common factors =1 x 1 = 1
LCM(679,8762) = ( 679 × 8762 ) / 1
LCM(679,8762) = 5949398 / 1
LCM(679,8762) = 5949398
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 9535/679, 9617/8762?
Answer: GCF of Numerators as per given numbers 9535/679, 9617/8762 is
GCF of Numerators i.e. for 9535,9617 is 1
LCM of denominators i.e. for 679,8762 is 5949398.
Thus, GCF of Fractions is 1/5949398.Finally, GCF of Fractions for 9535/679, 9617/8762 is 1/5949398.