Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4337/725,4619/405
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 4337,4619
Greatest Common Factor of Numerators i.e. GCF of 4337,4619 is 1 .
LCM of Denominators means LCM of 725,405 as per the given fractions.
LCM of 725,405 is 58725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4337,4619
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4337
List of positive integer factors of 4337 that divides 4337 without a remainder.
1,4337
Factors of 4619
List of positive integer factors of 4619 that divides 4619 without a remainder.
1,31,149,4619
Greatest Common Factor
We found the factors 4337,4619 . The biggest common factor number is the GCF number.
So the greatest common factor 4337,4619 is 1.
Lets's calculate LCM of 725,405
5 | 725, 405 |
145, 81 |
∴ So the LCM of the given numbers is 5 x 145 x 81 = 58725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58725
Therefore, the GCF of Fractions 4337/725,4619/405 is 1/58725
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 725,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,405) x common factors =5 x 1 = 5
LCM(725,405) = ( 725 × 405 ) / 5
LCM(725,405) = 293625 / 5
LCM(725,405) = 58725
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 4337/725, 4619/405?
Answer: GCF of Numerators as per given numbers 4337/725, 4619/405 is
GCF of Numerators i.e. for 4337,4619 is 1
LCM of denominators i.e. for 725,405 is 58725.
Thus, GCF of Fractions is 1/58725.Finally, GCF of Fractions for 4337/725, 4619/405 is 1/58725.