Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4108/236,1977/4245
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 4108,1977
Greatest Common Factor of Numerators i.e. GCF of 4108,1977 is 1 .
LCM of Denominators means LCM of 236,4245 as per the given fractions.
LCM of 236,4245 is 1001820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4108,1977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4108
List of positive integer factors of 4108 that divides 4108 without a remainder.
1,2,4,13,26,52,79,158,316,1027,2054,4108
Factors of 1977
List of positive integer factors of 1977 that divides 1977 without a remainder.
1,3,659,1977
Greatest Common Factor
We found the factors 4108,1977 . The biggest common factor number is the GCF number.
So the greatest common factor 4108,1977 is 1.
Lets's calculate LCM of 236,4245
Given numbers has no common factors except 1. So, there LCM is their product i.e 1001820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001820
Therefore, the GCF of Fractions 4108/236,1977/4245 is 1/1001820
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 236,4245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,4245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,4245) x common factors =1 x 1 = 1
LCM(236,4245) = ( 236 × 4245 ) / 1
LCM(236,4245) = 1001820 / 1
LCM(236,4245) = 1001820
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 4108/236, 1977/4245?
Answer: GCF of Numerators as per given numbers 4108/236, 1977/4245 is
GCF of Numerators i.e. for 4108,1977 is 1
LCM of denominators i.e. for 236,4245 is 1001820.
Thus, GCF of Fractions is 1/1001820.Finally, GCF of Fractions for 4108/236, 1977/4245 is 1/1001820.