Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2173/17,5757/617
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 2173,5757
Greatest Common Factor of Numerators i.e. GCF of 2173,5757 is 1 .
LCM of Denominators means LCM of 17,617 as per the given fractions.
LCM of 17,617 is 10489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2173,5757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1,41,53,2173
Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 2173,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 2173,5757 is 1.
Lets's calculate LCM of 17,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 10489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10489
Therefore, the GCF of Fractions 2173/17,5757/617 is 1/10489
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 17,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,617) x common factors =1 x 1 = 1
LCM(17,617) = ( 17 × 617 ) / 1
LCM(17,617) = 10489 / 1
LCM(17,617) = 10489
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 2173/17, 5757/617?
Answer: GCF of Numerators as per given numbers 2173/17, 5757/617 is
GCF of Numerators i.e. for 2173,5757 is 1
LCM of denominators i.e. for 17,617 is 10489.
Thus, GCF of Fractions is 1/10489.Finally, GCF of Fractions for 2173/17, 5757/617 is 1/10489.