Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9791/368,6453/2621
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 9791,6453
Greatest Common Factor of Numerators i.e. GCF of 9791,6453 is 1 .
LCM of Denominators means LCM of 368,2621 as per the given fractions.
LCM of 368,2621 is 964528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9791,6453
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9791
List of positive integer factors of 9791 that divides 9791 without a remainder.
1,9791
Factors of 6453
List of positive integer factors of 6453 that divides 6453 without a remainder.
1,3,9,27,239,717,2151,6453
Greatest Common Factor
We found the factors 9791,6453 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,6453 is 1.
Lets's calculate LCM of 368,2621
Given numbers has no common factors except 1. So, there LCM is their product i.e 964528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964528
Therefore, the GCF of Fractions 9791/368,6453/2621 is 1/964528
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 368,2621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,2621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,2621) x common factors =1 x 1 = 1
LCM(368,2621) = ( 368 × 2621 ) / 1
LCM(368,2621) = 964528 / 1
LCM(368,2621) = 964528
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 9791/368, 6453/2621?
Answer: GCF of Numerators as per given numbers 9791/368, 6453/2621 is
GCF of Numerators i.e. for 9791,6453 is 1
LCM of denominators i.e. for 368,2621 is 964528.
Thus, GCF of Fractions is 1/964528.Finally, GCF of Fractions for 9791/368, 6453/2621 is 1/964528.