Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/198,350/486,913/326
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 970,350,913
Greatest Common Factor of Numerators i.e. GCF of 970,350,913 is 1 .
LCM of Denominators means LCM of 198,486,326 as per the given fractions.
LCM of 198,486,326 is 871398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,350,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 970,350,913 . The biggest common factor number is the GCF number.
So the greatest common factor 970,350,913 is 1.
Lets's calculate LCM of 198,486,326
2 | 198, 486, 326 |
3 | 99, 243, 163 |
3 | 33, 81, 163 |
11, 27, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 27 x 163 = 871398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/871398
Therefore, the GCF of Fractions 970/198,350/486,913/326 is 1/871398
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 198,486,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,486,326) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(198,486,326) x common factors =2 x 18 = 36
LCM(198,486,326) = ( 198 × 486 × 326 ) / 36
LCM(198,486,326) = 31370328 / 36
LCM(198,486,326) = 871398
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 970/198, 350/486, 913/326?
Answer: GCF of Numerators as per given numbers 970/198, 350/486, 913/326 is
GCF of Numerators i.e. for 970,350,913 is 1
LCM of denominators i.e. for 198,486,326 is 871398.
Thus, GCF of Fractions is 1/871398.Finally, GCF of Fractions for 970/198, 350/486, 913/326 is 1/871398.