Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 123/49,593/21,197/420
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 123,593,197
Greatest Common Factor of Numerators i.e. GCF of 123,593,197 is 1 .
LCM of Denominators means LCM of 49,21,420 as per the given fractions.
LCM of 49,21,420 is 2940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 123,593,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 123,593,197 . The biggest common factor number is the GCF number.
So the greatest common factor 123,593,197 is 1.
Lets's calculate LCM of 49,21,420
3 | 49, 21, 420 |
7 | 49, 7, 140 |
1, 7, 20 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 7 x 20 = 2940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940
Therefore, the GCF of Fractions 123/49,593/21,197/420 is 1/2940
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 49,21,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,21,420) = 7
common factors(in case of two or more numbers have common factors) = 21
GCF(49,21,420) x common factors =7 x 21 = 147
LCM(49,21,420) = ( 49 × 21 × 420 ) / 147
LCM(49,21,420) = 432180 / 147
LCM(49,21,420) = 2940
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 123/49, 593/21, 197/420?
Answer: GCF of Numerators as per given numbers 123/49, 593/21, 197/420 is
GCF of Numerators i.e. for 123,593,197 is 1
LCM of denominators i.e. for 49,21,420 is 2940.
Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 123/49, 593/21, 197/420 is 1/2940.