Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5146/693,3108/957
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 5146,3108
Greatest Common Factor of Numerators i.e. GCF of 5146,3108 is 2 .
LCM of Denominators means LCM of 693,957 as per the given fractions.
LCM of 693,957 is 20097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5146,3108
2 | 5146, 3108 |
2573, 1554 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5146
List of positive integer factors of 5146 that divides 5146 without a remainder.
1,2,31,62,83,166,2573,5146
Factors of 3108
List of positive integer factors of 3108 that divides 3108 without a remainder.
1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Greatest Common Factor
We found the factors 5146,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 5146,3108 is 2.
Lets's calculate LCM of 693,957
3 | 693, 957 |
11 | 231, 319 |
21, 29 |
∴ So the LCM of the given numbers is 3 x 11 x 21 x 29 = 20097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20097
Therefore, the GCF of Fractions 5146/693,3108/957 is 2/20097
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 693,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,957) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(693,957) x common factors =33 x 1 = 33
LCM(693,957) = ( 693 × 957 ) / 33
LCM(693,957) = 663201 / 33
LCM(693,957) = 20097
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 5146/693, 3108/957?
Answer: GCF of Numerators as per given numbers 5146/693, 3108/957 is
GCF of Numerators i.e. for 5146,3108 is 2
LCM of denominators i.e. for 693,957 is 20097.
Thus, GCF of Fractions is 2/20097.Finally, GCF of Fractions for 5146/693, 3108/957 is 2/20097.