Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5422/403,2854/2716
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 5422,2854
Greatest Common Factor of Numerators i.e. GCF of 5422,2854 is 2 .
LCM of Denominators means LCM of 403,2716 as per the given fractions.
LCM of 403,2716 is 1094548 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5422,2854
2 | 5422, 2854 |
2711, 1427 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5422
List of positive integer factors of 5422 that divides 5422 without a remainder.
1,2,2711,5422
Factors of 2854
List of positive integer factors of 2854 that divides 2854 without a remainder.
1,2,1427,2854
Greatest Common Factor
We found the factors 5422,2854 . The biggest common factor number is the GCF number.
So the greatest common factor 5422,2854 is 2.
Lets's calculate LCM of 403,2716
Given numbers has no common factors except 1. So, there LCM is their product i.e 1094548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1094548
Therefore, the GCF of Fractions 5422/403,2854/2716 is 2/1094548
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 403,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,2716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,2716) x common factors =1 x 1 = 1
LCM(403,2716) = ( 403 × 2716 ) / 1
LCM(403,2716) = 1094548 / 1
LCM(403,2716) = 1094548
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 5422/403, 2854/2716?
Answer: GCF of Numerators as per given numbers 5422/403, 2854/2716 is
GCF of Numerators i.e. for 5422,2854 is 2
LCM of denominators i.e. for 403,2716 is 1094548.
Thus, GCF of Fractions is 2/1094548.Finally, GCF of Fractions for 5422/403, 2854/2716 is 2/1094548.