Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9367/20,1973/919
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 9367,1973
Greatest Common Factor of Numerators i.e. GCF of 9367,1973 is 1 .
LCM of Denominators means LCM of 20,919 as per the given fractions.
LCM of 20,919 is 18380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9367,1973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9367
List of positive integer factors of 9367 that divides 9367 without a remainder.
1,17,19,29,323,493,551,9367
Factors of 1973
List of positive integer factors of 1973 that divides 1973 without a remainder.
1,1973
Greatest Common Factor
We found the factors 9367,1973 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,1973 is 1.
Lets's calculate LCM of 20,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 18380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18380
Therefore, the GCF of Fractions 9367/20,1973/919 is 1/18380
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 20,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,919) x common factors =1 x 1 = 1
LCM(20,919) = ( 20 × 919 ) / 1
LCM(20,919) = 18380 / 1
LCM(20,919) = 18380
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 9367/20, 1973/919?
Answer: GCF of Numerators as per given numbers 9367/20, 1973/919 is
GCF of Numerators i.e. for 9367,1973 is 1
LCM of denominators i.e. for 20,919 is 18380.
Thus, GCF of Fractions is 1/18380.Finally, GCF of Fractions for 9367/20, 1973/919 is 1/18380.