Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8101/39,9812/826
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 8101,9812
Greatest Common Factor of Numerators i.e. GCF of 8101,9812 is 1 .
LCM of Denominators means LCM of 39,826 as per the given fractions.
LCM of 39,826 is 32214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8101,9812
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8101
List of positive integer factors of 8101 that divides 8101 without a remainder.
1,8101
Factors of 9812
List of positive integer factors of 9812 that divides 9812 without a remainder.
1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 8101,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 8101,9812 is 1.
Lets's calculate LCM of 39,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 32214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32214
Therefore, the GCF of Fractions 8101/39,9812/826 is 1/32214
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 39,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,826) x common factors =1 x 1 = 1
LCM(39,826) = ( 39 × 826 ) / 1
LCM(39,826) = 32214 / 1
LCM(39,826) = 32214
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 8101/39, 9812/826?
Answer: GCF of Numerators as per given numbers 8101/39, 9812/826 is
GCF of Numerators i.e. for 8101,9812 is 1
LCM of denominators i.e. for 39,826 is 32214.
Thus, GCF of Fractions is 1/32214.Finally, GCF of Fractions for 8101/39, 9812/826 is 1/32214.