Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/26,860/1961
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 113,860
Greatest Common Factor of Numerators i.e. GCF of 113,860 is 1 .
LCM of Denominators means LCM of 26,1961 as per the given fractions.
LCM of 26,1961 is 50986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 113,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 113,860 . The biggest common factor number is the GCF number.
So the greatest common factor 113,860 is 1.
Lets's calculate LCM of 26,1961
Given numbers has no common factors except 1. So, there LCM is their product i.e 50986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50986
Therefore, the GCF of Fractions 113/26,860/1961 is 1/50986
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 26,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,1961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,1961) x common factors =1 x 1 = 1
LCM(26,1961) = ( 26 × 1961 ) / 1
LCM(26,1961) = 50986 / 1
LCM(26,1961) = 50986
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 113/26, 860/1961?
Answer: GCF of Numerators as per given numbers 113/26, 860/1961 is
GCF of Numerators i.e. for 113,860 is 1
LCM of denominators i.e. for 26,1961 is 50986.
Thus, GCF of Fractions is 1/50986.Finally, GCF of Fractions for 113/26, 860/1961 is 1/50986.