Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4937/423,1865/2726
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 4937,1865
Greatest Common Factor of Numerators i.e. GCF of 4937,1865 is 1 .
LCM of Denominators means LCM of 423,2726 as per the given fractions.
LCM of 423,2726 is 24534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4937,1865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4937
List of positive integer factors of 4937 that divides 4937 without a remainder.
1,4937
Factors of 1865
List of positive integer factors of 1865 that divides 1865 without a remainder.
1,5,373,1865
Greatest Common Factor
We found the factors 4937,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 4937,1865 is 1.
Lets's calculate LCM of 423,2726
47 | 423, 2726 |
9, 58 |
∴ So the LCM of the given numbers is 47 x 9 x 58 = 24534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24534
Therefore, the GCF of Fractions 4937/423,1865/2726 is 1/24534
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 423,2726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,2726) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(423,2726) x common factors =47 x 1 = 47
LCM(423,2726) = ( 423 × 2726 ) / 47
LCM(423,2726) = 1153098 / 47
LCM(423,2726) = 24534
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 4937/423, 1865/2726?
Answer: GCF of Numerators as per given numbers 4937/423, 1865/2726 is
GCF of Numerators i.e. for 4937,1865 is 1
LCM of denominators i.e. for 423,2726 is 24534.
Thus, GCF of Fractions is 1/24534.Finally, GCF of Fractions for 4937/423, 1865/2726 is 1/24534.