Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6039/97,2540/235
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 6039,2540
Greatest Common Factor of Numerators i.e. GCF of 6039,2540 is 1 .
LCM of Denominators means LCM of 97,235 as per the given fractions.
LCM of 97,235 is 22795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6039,2540
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6039
List of positive integer factors of 6039 that divides 6039 without a remainder.
1,3,9,11,33,61,99,183,549,671,2013,6039
Factors of 2540
List of positive integer factors of 2540 that divides 2540 without a remainder.
1,2,4,5,10,20,127,254,508,635,1270,2540
Greatest Common Factor
We found the factors 6039,2540 . The biggest common factor number is the GCF number.
So the greatest common factor 6039,2540 is 1.
Lets's calculate LCM of 97,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 22795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22795
Therefore, the GCF of Fractions 6039/97,2540/235 is 1/22795
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 97,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,235) x common factors =1 x 1 = 1
LCM(97,235) = ( 97 × 235 ) / 1
LCM(97,235) = 22795 / 1
LCM(97,235) = 22795
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 6039/97, 2540/235?
Answer: GCF of Numerators as per given numbers 6039/97, 2540/235 is
GCF of Numerators i.e. for 6039,2540 is 1
LCM of denominators i.e. for 97,235 is 22795.
Thus, GCF of Fractions is 1/22795.Finally, GCF of Fractions for 6039/97, 2540/235 is 1/22795.