Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4376/331,5787/3721
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 4376,5787
Greatest Common Factor of Numerators i.e. GCF of 4376,5787 is 1 .
LCM of Denominators means LCM of 331,3721 as per the given fractions.
LCM of 331,3721 is 1231651 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4376,5787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4376
List of positive integer factors of 4376 that divides 4376 without a remainder.
1,2,4,8,547,1094,2188,4376
Factors of 5787
List of positive integer factors of 5787 that divides 5787 without a remainder.
1,3,9,643,1929,5787
Greatest Common Factor
We found the factors 4376,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 4376,5787 is 1.
Lets's calculate LCM of 331,3721
Given numbers has no common factors except 1. So, there LCM is their product i.e 1231651
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1231651
Therefore, the GCF of Fractions 4376/331,5787/3721 is 1/1231651
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 331,3721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,3721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,3721) x common factors =1 x 1 = 1
LCM(331,3721) = ( 331 × 3721 ) / 1
LCM(331,3721) = 1231651 / 1
LCM(331,3721) = 1231651
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 4376/331, 5787/3721?
Answer: GCF of Numerators as per given numbers 4376/331, 5787/3721 is
GCF of Numerators i.e. for 4376,5787 is 1
LCM of denominators i.e. for 331,3721 is 1231651.
Thus, GCF of Fractions is 1/1231651.Finally, GCF of Fractions for 4376/331, 5787/3721 is 1/1231651.