Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2874/49,2267/438
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 2874,2267
Greatest Common Factor of Numerators i.e. GCF of 2874,2267 is 1 .
LCM of Denominators means LCM of 49,438 as per the given fractions.
LCM of 49,438 is 21462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2874,2267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2874
List of positive integer factors of 2874 that divides 2874 without a remainder.
1,2,3,6,479,958,1437,2874
Factors of 2267
List of positive integer factors of 2267 that divides 2267 without a remainder.
1,2267
Greatest Common Factor
We found the factors 2874,2267 . The biggest common factor number is the GCF number.
So the greatest common factor 2874,2267 is 1.
Lets's calculate LCM of 49,438
Given numbers has no common factors except 1. So, there LCM is their product i.e 21462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21462
Therefore, the GCF of Fractions 2874/49,2267/438 is 1/21462
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 49,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,438) x common factors =1 x 1 = 1
LCM(49,438) = ( 49 × 438 ) / 1
LCM(49,438) = 21462 / 1
LCM(49,438) = 21462
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 2874/49, 2267/438?
Answer: GCF of Numerators as per given numbers 2874/49, 2267/438 is
GCF of Numerators i.e. for 2874,2267 is 1
LCM of denominators i.e. for 49,438 is 21462.
Thus, GCF of Fractions is 1/21462.Finally, GCF of Fractions for 2874/49, 2267/438 is 1/21462.