Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6213/615,9032/9082
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 6213,9032
Greatest Common Factor of Numerators i.e. GCF of 6213,9032 is 1 .
LCM of Denominators means LCM of 615,9082 as per the given fractions.
LCM of 615,9082 is 5585430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6213,9032
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6213
List of positive integer factors of 6213 that divides 6213 without a remainder.
1,3,19,57,109,327,2071,6213
Factors of 9032
List of positive integer factors of 9032 that divides 9032 without a remainder.
1,2,4,8,1129,2258,4516,9032
Greatest Common Factor
We found the factors 6213,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 6213,9032 is 1.
Lets's calculate LCM of 615,9082
Given numbers has no common factors except 1. So, there LCM is their product i.e 5585430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5585430
Therefore, the GCF of Fractions 6213/615,9032/9082 is 1/5585430
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 615,9082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9082) x common factors =1 x 1 = 1
LCM(615,9082) = ( 615 × 9082 ) / 1
LCM(615,9082) = 5585430 / 1
LCM(615,9082) = 5585430
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 6213/615, 9032/9082?
Answer: GCF of Numerators as per given numbers 6213/615, 9032/9082 is
GCF of Numerators i.e. for 6213,9032 is 1
LCM of denominators i.e. for 615,9082 is 5585430.
Thus, GCF of Fractions is 1/5585430.Finally, GCF of Fractions for 6213/615, 9032/9082 is 1/5585430.