Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8795/878,9797/2657
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 8795,9797
Greatest Common Factor of Numerators i.e. GCF of 8795,9797 is 1 .
LCM of Denominators means LCM of 878,2657 as per the given fractions.
LCM of 878,2657 is 2332846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8795,9797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8795
List of positive integer factors of 8795 that divides 8795 without a remainder.
1,5,1759,8795
Factors of 9797
List of positive integer factors of 9797 that divides 9797 without a remainder.
1,97,101,9797
Greatest Common Factor
We found the factors 8795,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 8795,9797 is 1.
Lets's calculate LCM of 878,2657
Given numbers has no common factors except 1. So, there LCM is their product i.e 2332846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2332846
Therefore, the GCF of Fractions 8795/878,9797/2657 is 1/2332846
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 878,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,2657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,2657) x common factors =1 x 1 = 1
LCM(878,2657) = ( 878 × 2657 ) / 1
LCM(878,2657) = 2332846 / 1
LCM(878,2657) = 2332846
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 8795/878, 9797/2657?
Answer: GCF of Numerators as per given numbers 8795/878, 9797/2657 is
GCF of Numerators i.e. for 8795,9797 is 1
LCM of denominators i.e. for 878,2657 is 2332846.
Thus, GCF of Fractions is 1/2332846.Finally, GCF of Fractions for 8795/878, 9797/2657 is 1/2332846.