Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/389,6792/7973
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 36,6792
Greatest Common Factor of Numerators i.e. GCF of 36,6792 is 12 .
LCM of Denominators means LCM of 389,7973 as per the given fractions.
LCM of 389,7973 is 3101497 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,6792
2 | 36, 6792 |
2 | 18, 3396 |
3 | 9, 1698 |
3, 566 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 6792
List of positive integer factors of 6792 that divides 6792 without a remainder.
1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Greatest Common Factor
We found the factors 36,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6792 is 12.
Lets's calculate LCM of 389,7973
Given numbers has no common factors except 1. So, there LCM is their product i.e 3101497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3101497
Therefore, the GCF of Fractions 36/389,6792/7973 is 12/3101497
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 389,7973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7973) x common factors =1 x 1 = 1
LCM(389,7973) = ( 389 × 7973 ) / 1
LCM(389,7973) = 3101497 / 1
LCM(389,7973) = 3101497
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 36/389, 6792/7973?
Answer: GCF of Numerators as per given numbers 36/389, 6792/7973 is
GCF of Numerators i.e. for 36,6792 is 12
LCM of denominators i.e. for 389,7973 is 3101497.
Thus, GCF of Fractions is 12/3101497.Finally, GCF of Fractions for 36/389, 6792/7973 is 12/3101497.