Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/52,777/24,820/198
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 968,777,820
Greatest Common Factor of Numerators i.e. GCF of 968,777,820 is 1 .
LCM of Denominators means LCM of 52,24,198 as per the given fractions.
LCM of 52,24,198 is 10296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 968,777,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 968,777,820 . The biggest common factor number is the GCF number.
So the greatest common factor 968,777,820 is 1.
Lets's calculate LCM of 52,24,198
2 | 52, 24, 198 |
2 | 26, 12, 99 |
3 | 13, 6, 99 |
13, 2, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 2 x 33 = 10296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10296
Therefore, the GCF of Fractions 968/52,777/24,820/198 is 1/10296
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 52,24,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,24,198) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(52,24,198) x common factors =2 x 12 = 24
LCM(52,24,198) = ( 52 × 24 × 198 ) / 24
LCM(52,24,198) = 247104 / 24
LCM(52,24,198) = 10296
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 968/52, 777/24, 820/198?
Answer: GCF of Numerators as per given numbers 968/52, 777/24, 820/198 is
GCF of Numerators i.e. for 968,777,820 is 1
LCM of denominators i.e. for 52,24,198 is 10296.
Thus, GCF of Fractions is 1/10296.Finally, GCF of Fractions for 968/52, 777/24, 820/198 is 1/10296.