Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/34,349/9789
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 573,349
Greatest Common Factor of Numerators i.e. GCF of 573,349 is 1 .
LCM of Denominators means LCM of 34,9789 as per the given fractions.
LCM of 34,9789 is 332826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 573,349 . The biggest common factor number is the GCF number.
So the greatest common factor 573,349 is 1.
Lets's calculate LCM of 34,9789
Given numbers has no common factors except 1. So, there LCM is their product i.e 332826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332826
Therefore, the GCF of Fractions 573/34,349/9789 is 1/332826
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 34,9789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,9789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,9789) x common factors =1 x 1 = 1
LCM(34,9789) = ( 34 × 9789 ) / 1
LCM(34,9789) = 332826 / 1
LCM(34,9789) = 332826
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 573/34, 349/9789?
Answer: GCF of Numerators as per given numbers 573/34, 349/9789 is
GCF of Numerators i.e. for 573,349 is 1
LCM of denominators i.e. for 34,9789 is 332826.
Thus, GCF of Fractions is 1/332826.Finally, GCF of Fractions for 573/34, 349/9789 is 1/332826.