Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4922/674,5714/6355
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 4922,5714
Greatest Common Factor of Numerators i.e. GCF of 4922,5714 is 2 .
LCM of Denominators means LCM of 674,6355 as per the given fractions.
LCM of 674,6355 is 4283270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4922,5714
2 | 4922, 5714 |
2461, 2857 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4922
List of positive integer factors of 4922 that divides 4922 without a remainder.
1,2,23,46,107,214,2461,4922
Factors of 5714
List of positive integer factors of 5714 that divides 5714 without a remainder.
1,2,2857,5714
Greatest Common Factor
We found the factors 4922,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 4922,5714 is 2.
Lets's calculate LCM of 674,6355
Given numbers has no common factors except 1. So, there LCM is their product i.e 4283270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4283270
Therefore, the GCF of Fractions 4922/674,5714/6355 is 2/4283270
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 674,6355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,6355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,6355) x common factors =1 x 1 = 1
LCM(674,6355) = ( 674 × 6355 ) / 1
LCM(674,6355) = 4283270 / 1
LCM(674,6355) = 4283270
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 4922/674, 5714/6355?
Answer: GCF of Numerators as per given numbers 4922/674, 5714/6355 is
GCF of Numerators i.e. for 4922,5714 is 2
LCM of denominators i.e. for 674,6355 is 4283270.
Thus, GCF of Fractions is 2/4283270.Finally, GCF of Fractions for 4922/674, 5714/6355 is 2/4283270.