Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/19,1979/841
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 821,1979
Greatest Common Factor of Numerators i.e. GCF of 821,1979 is 1 .
LCM of Denominators means LCM of 19,841 as per the given fractions.
LCM of 19,841 is 15979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 821,1979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 1979
List of positive integer factors of 1979 that divides 1979 without a remainder.
1,1979
Greatest Common Factor
We found the factors 821,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 821,1979 is 1.
Lets's calculate LCM of 19,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 15979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15979
Therefore, the GCF of Fractions 821/19,1979/841 is 1/15979
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 19,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,841) x common factors =1 x 1 = 1
LCM(19,841) = ( 19 × 841 ) / 1
LCM(19,841) = 15979 / 1
LCM(19,841) = 15979
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 821/19, 1979/841?
Answer: GCF of Numerators as per given numbers 821/19, 1979/841 is
GCF of Numerators i.e. for 821,1979 is 1
LCM of denominators i.e. for 19,841 is 15979.
Thus, GCF of Fractions is 1/15979.Finally, GCF of Fractions for 821/19, 1979/841 is 1/15979.