Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2666/679,7512/6642
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 2666,7512
Greatest Common Factor of Numerators i.e. GCF of 2666,7512 is 2 .
LCM of Denominators means LCM of 679,6642 as per the given fractions.
LCM of 679,6642 is 4509918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2666,7512
2 | 2666, 7512 |
1333, 3756 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2666
List of positive integer factors of 2666 that divides 2666 without a remainder.
1,2,31,43,62,86,1333,2666
Factors of 7512
List of positive integer factors of 7512 that divides 7512 without a remainder.
1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Greatest Common Factor
We found the factors 2666,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 2666,7512 is 2.
Lets's calculate LCM of 679,6642
Given numbers has no common factors except 1. So, there LCM is their product i.e 4509918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4509918
Therefore, the GCF of Fractions 2666/679,7512/6642 is 2/4509918
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 679,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,6642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,6642) x common factors =1 x 1 = 1
LCM(679,6642) = ( 679 × 6642 ) / 1
LCM(679,6642) = 4509918 / 1
LCM(679,6642) = 4509918
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 2666/679, 7512/6642?
Answer: GCF of Numerators as per given numbers 2666/679, 7512/6642 is
GCF of Numerators i.e. for 2666,7512 is 2
LCM of denominators i.e. for 679,6642 is 4509918.
Thus, GCF of Fractions is 2/4509918.Finally, GCF of Fractions for 2666/679, 7512/6642 is 2/4509918.