Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6993/355,5972/2483
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 6993,5972
Greatest Common Factor of Numerators i.e. GCF of 6993,5972 is 1 .
LCM of Denominators means LCM of 355,2483 as per the given fractions.
LCM of 355,2483 is 881465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6993,5972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6993
List of positive integer factors of 6993 that divides 6993 without a remainder.
1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Factors of 5972
List of positive integer factors of 5972 that divides 5972 without a remainder.
1,2,4,1493,2986,5972
Greatest Common Factor
We found the factors 6993,5972 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,5972 is 1.
Lets's calculate LCM of 355,2483
Given numbers has no common factors except 1. So, there LCM is their product i.e 881465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/881465
Therefore, the GCF of Fractions 6993/355,5972/2483 is 1/881465
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 355,2483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,2483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,2483) x common factors =1 x 1 = 1
LCM(355,2483) = ( 355 × 2483 ) / 1
LCM(355,2483) = 881465 / 1
LCM(355,2483) = 881465
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 6993/355, 5972/2483?
Answer: GCF of Numerators as per given numbers 6993/355, 5972/2483 is
GCF of Numerators i.e. for 6993,5972 is 1
LCM of denominators i.e. for 355,2483 is 881465.
Thus, GCF of Fractions is 1/881465.Finally, GCF of Fractions for 6993/355, 5972/2483 is 1/881465.