Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/61,393/7432
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 721,393
Greatest Common Factor of Numerators i.e. GCF of 721,393 is 1 .
LCM of Denominators means LCM of 61,7432 as per the given fractions.
LCM of 61,7432 is 453352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 721,393 . The biggest common factor number is the GCF number.
So the greatest common factor 721,393 is 1.
Lets's calculate LCM of 61,7432
Given numbers has no common factors except 1. So, there LCM is their product i.e 453352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453352
Therefore, the GCF of Fractions 721/61,393/7432 is 1/453352
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 61,7432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,7432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,7432) x common factors =1 x 1 = 1
LCM(61,7432) = ( 61 × 7432 ) / 1
LCM(61,7432) = 453352 / 1
LCM(61,7432) = 453352
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 721/61, 393/7432?
Answer: GCF of Numerators as per given numbers 721/61, 393/7432 is
GCF of Numerators i.e. for 721,393 is 1
LCM of denominators i.e. for 61,7432 is 453352.
Thus, GCF of Fractions is 1/453352.Finally, GCF of Fractions for 721/61, 393/7432 is 1/453352.