Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/299,4882/9373
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 40,4882
Greatest Common Factor of Numerators i.e. GCF of 40,4882 is 2 .
LCM of Denominators means LCM of 299,9373 as per the given fractions.
LCM of 299,9373 is 215579 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,4882
2 | 40, 4882 |
20, 2441 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1,2,2441,4882
Greatest Common Factor
We found the factors 40,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4882 is 2.
Lets's calculate LCM of 299,9373
13 | 299, 9373 |
23, 721 |
∴ So the LCM of the given numbers is 13 x 23 x 721 = 215579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/215579
Therefore, the GCF of Fractions 40/299,4882/9373 is 2/215579
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 299,9373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,9373) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(299,9373) x common factors =13 x 1 = 13
LCM(299,9373) = ( 299 × 9373 ) / 13
LCM(299,9373) = 2802527 / 13
LCM(299,9373) = 215579
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 40/299, 4882/9373?
Answer: GCF of Numerators as per given numbers 40/299, 4882/9373 is
GCF of Numerators i.e. for 40,4882 is 2
LCM of denominators i.e. for 299,9373 is 215579.
Thus, GCF of Fractions is 2/215579.Finally, GCF of Fractions for 40/299, 4882/9373 is 2/215579.