Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2371/37,3728/141
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 2371,3728
Greatest Common Factor of Numerators i.e. GCF of 2371,3728 is 1 .
LCM of Denominators means LCM of 37,141 as per the given fractions.
LCM of 37,141 is 5217 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2371,3728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1,2371
Factors of 3728
List of positive integer factors of 3728 that divides 3728 without a remainder.
1,2,4,8,16,233,466,932,1864,3728
Greatest Common Factor
We found the factors 2371,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 2371,3728 is 1.
Lets's calculate LCM of 37,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 5217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5217
Therefore, the GCF of Fractions 2371/37,3728/141 is 1/5217
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 37,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,141) x common factors =1 x 1 = 1
LCM(37,141) = ( 37 × 141 ) / 1
LCM(37,141) = 5217 / 1
LCM(37,141) = 5217
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 2371/37, 3728/141?
Answer: GCF of Numerators as per given numbers 2371/37, 3728/141 is
GCF of Numerators i.e. for 2371,3728 is 1
LCM of denominators i.e. for 37,141 is 5217.
Thus, GCF of Fractions is 1/5217.Finally, GCF of Fractions for 2371/37, 3728/141 is 1/5217.