Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6873/840,4393/6525
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 6873,4393
Greatest Common Factor of Numerators i.e. GCF of 6873,4393 is 1 .
LCM of Denominators means LCM of 840,6525 as per the given fractions.
LCM of 840,6525 is 365400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6873,4393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6873
List of positive integer factors of 6873 that divides 6873 without a remainder.
1,3,29,79,87,237,2291,6873
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1,23,191,4393
Greatest Common Factor
We found the factors 6873,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 6873,4393 is 1.
Lets's calculate LCM of 840,6525
3 | 840, 6525 |
5 | 280, 2175 |
56, 435 |
∴ So the LCM of the given numbers is 3 x 5 x 56 x 435 = 365400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365400
Therefore, the GCF of Fractions 6873/840,4393/6525 is 1/365400
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 840,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6525) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6525) x common factors =15 x 1 = 15
LCM(840,6525) = ( 840 × 6525 ) / 15
LCM(840,6525) = 5481000 / 15
LCM(840,6525) = 365400
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 6873/840, 4393/6525?
Answer: GCF of Numerators as per given numbers 6873/840, 4393/6525 is
GCF of Numerators i.e. for 6873,4393 is 1
LCM of denominators i.e. for 840,6525 is 365400.
Thus, GCF of Fractions is 1/365400.Finally, GCF of Fractions for 6873/840, 4393/6525 is 1/365400.