Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6595/371,4839/252
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 6595,4839
Greatest Common Factor of Numerators i.e. GCF of 6595,4839 is 1 .
LCM of Denominators means LCM of 371,252 as per the given fractions.
LCM of 371,252 is 13356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6595,4839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6595
List of positive integer factors of 6595 that divides 6595 without a remainder.
1,5,1319,6595
Factors of 4839
List of positive integer factors of 4839 that divides 4839 without a remainder.
1,3,1613,4839
Greatest Common Factor
We found the factors 6595,4839 . The biggest common factor number is the GCF number.
So the greatest common factor 6595,4839 is 1.
Lets's calculate LCM of 371,252
7 | 371, 252 |
53, 36 |
∴ So the LCM of the given numbers is 7 x 53 x 36 = 13356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13356
Therefore, the GCF of Fractions 6595/371,4839/252 is 1/13356
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 371,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,252) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(371,252) x common factors =7 x 1 = 7
LCM(371,252) = ( 371 × 252 ) / 7
LCM(371,252) = 93492 / 7
LCM(371,252) = 13356
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 6595/371, 4839/252?
Answer: GCF of Numerators as per given numbers 6595/371, 4839/252 is
GCF of Numerators i.e. for 6595,4839 is 1
LCM of denominators i.e. for 371,252 is 13356.
Thus, GCF of Fractions is 1/13356.Finally, GCF of Fractions for 6595/371, 4839/252 is 1/13356.