Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/903,123/172,629/192
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 354,123,629
Greatest Common Factor of Numerators i.e. GCF of 354,123,629 is 1 .
LCM of Denominators means LCM of 903,172,192 as per the given fractions.
LCM of 903,172,192 is 57792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,123,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 354,123,629 . The biggest common factor number is the GCF number.
So the greatest common factor 354,123,629 is 1.
Lets's calculate LCM of 903,172,192
2 | 903, 172, 192 |
2 | 903, 86, 96 |
3 | 903, 43, 48 |
43 | 301, 43, 16 |
7, 1, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 7 x 1 x 16 = 57792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57792
Therefore, the GCF of Fractions 354/903,123/172,629/192 is 1/57792
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 903,172,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,172,192) = 1
common factors(in case of two or more numbers have common factors) = 516
GCF(903,172,192) x common factors =1 x 516 = 516
LCM(903,172,192) = ( 903 × 172 × 192 ) / 516
LCM(903,172,192) = 29820672 / 516
LCM(903,172,192) = 57792
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 354/903, 123/172, 629/192?
Answer: GCF of Numerators as per given numbers 354/903, 123/172, 629/192 is
GCF of Numerators i.e. for 354,123,629 is 1
LCM of denominators i.e. for 903,172,192 is 57792.
Thus, GCF of Fractions is 1/57792.Finally, GCF of Fractions for 354/903, 123/172, 629/192 is 1/57792.