Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/291,378/926,693/738
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 629,378,693
Greatest Common Factor of Numerators i.e. GCF of 629,378,693 is 1 .
LCM of Denominators means LCM of 291,926,738 as per the given fractions.
LCM of 291,926,738 is 33144318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 629,378,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 629,378,693 . The biggest common factor number is the GCF number.
So the greatest common factor 629,378,693 is 1.
Lets's calculate LCM of 291,926,738
2 | 291, 926, 738 |
3 | 291, 463, 369 |
97, 463, 123 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 463 x 123 = 33144318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33144318
Therefore, the GCF of Fractions 629/291,378/926,693/738 is 1/33144318
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 291,926,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,926,738) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(291,926,738) x common factors =1 x 6 = 6
LCM(291,926,738) = ( 291 × 926 × 738 ) / 6
LCM(291,926,738) = 198865908 / 6
LCM(291,926,738) = 33144318
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 629/291, 378/926, 693/738?
Answer: GCF of Numerators as per given numbers 629/291, 378/926, 693/738 is
GCF of Numerators i.e. for 629,378,693 is 1
LCM of denominators i.e. for 291,926,738 is 33144318.
Thus, GCF of Fractions is 1/33144318.Finally, GCF of Fractions for 629/291, 378/926, 693/738 is 1/33144318.