Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5797/517,9464/2718
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 5797,9464
Greatest Common Factor of Numerators i.e. GCF of 5797,9464 is 1 .
LCM of Denominators means LCM of 517,2718 as per the given fractions.
LCM of 517,2718 is 1405206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5797,9464
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5797
List of positive integer factors of 5797 that divides 5797 without a remainder.
1,11,17,31,187,341,527,5797
Factors of 9464
List of positive integer factors of 9464 that divides 9464 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Greatest Common Factor
We found the factors 5797,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 5797,9464 is 1.
Lets's calculate LCM of 517,2718
Given numbers has no common factors except 1. So, there LCM is their product i.e 1405206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1405206
Therefore, the GCF of Fractions 5797/517,9464/2718 is 1/1405206
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 517,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,2718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,2718) x common factors =1 x 1 = 1
LCM(517,2718) = ( 517 × 2718 ) / 1
LCM(517,2718) = 1405206 / 1
LCM(517,2718) = 1405206
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 5797/517, 9464/2718?
Answer: GCF of Numerators as per given numbers 5797/517, 9464/2718 is
GCF of Numerators i.e. for 5797,9464 is 1
LCM of denominators i.e. for 517,2718 is 1405206.
Thus, GCF of Fractions is 1/1405206.Finally, GCF of Fractions for 5797/517, 9464/2718 is 1/1405206.