Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/55,124/22,396/935
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 183,124,396
Greatest Common Factor of Numerators i.e. GCF of 183,124,396 is 1 .
LCM of Denominators means LCM of 55,22,935 as per the given fractions.
LCM of 55,22,935 is 1870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,124,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 183,124,396 . The biggest common factor number is the GCF number.
So the greatest common factor 183,124,396 is 1.
Lets's calculate LCM of 55,22,935
5 | 55, 22, 935 |
11 | 11, 22, 187 |
1, 2, 17 |
∴ So the LCM of the given numbers is 5 x 11 x 1 x 2 x 17 = 1870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1870
Therefore, the GCF of Fractions 183/55,124/22,396/935 is 1/1870
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 55,22,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,22,935) = 11
common factors(in case of two or more numbers have common factors) = 55
GCF(55,22,935) x common factors =11 x 55 = 605
LCM(55,22,935) = ( 55 × 22 × 935 ) / 605
LCM(55,22,935) = 1131350 / 605
LCM(55,22,935) = 1870
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 183/55, 124/22, 396/935?
Answer: GCF of Numerators as per given numbers 183/55, 124/22, 396/935 is
GCF of Numerators i.e. for 183,124,396 is 1
LCM of denominators i.e. for 55,22,935 is 1870.
Thus, GCF of Fractions is 1/1870.Finally, GCF of Fractions for 183/55, 124/22, 396/935 is 1/1870.