Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2586/646,4869/581
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 2586,4869
Greatest Common Factor of Numerators i.e. GCF of 2586,4869 is 3 .
LCM of Denominators means LCM of 646,581 as per the given fractions.
LCM of 646,581 is 375326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2586,4869
3 | 2586, 4869 |
862, 1623 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2586
List of positive integer factors of 2586 that divides 2586 without a remainder.
1,2,3,6,431,862,1293,2586
Factors of 4869
List of positive integer factors of 4869 that divides 4869 without a remainder.
1,3,9,541,1623,4869
Greatest Common Factor
We found the factors 2586,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 2586,4869 is 3.
Lets's calculate LCM of 646,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 375326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/375326
Therefore, the GCF of Fractions 2586/646,4869/581 is 3/375326
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 646,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,581) x common factors =1 x 1 = 1
LCM(646,581) = ( 646 × 581 ) / 1
LCM(646,581) = 375326 / 1
LCM(646,581) = 375326
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 2586/646, 4869/581?
Answer: GCF of Numerators as per given numbers 2586/646, 4869/581 is
GCF of Numerators i.e. for 2586,4869 is 3
LCM of denominators i.e. for 646,581 is 375326.
Thus, GCF of Fractions is 3/375326.Finally, GCF of Fractions for 2586/646, 4869/581 is 3/375326.