Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 189/17,258/91,622/494
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 189,258,622
Greatest Common Factor of Numerators i.e. GCF of 189,258,622 is 1 .
LCM of Denominators means LCM of 17,91,494 as per the given fractions.
LCM of 17,91,494 is 58786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 189,258,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 189,258,622 . The biggest common factor number is the GCF number.
So the greatest common factor 189,258,622 is 1.
Lets's calculate LCM of 17,91,494
13 | 17, 91, 494 |
17, 7, 38 |
∴ So the LCM of the given numbers is 13 x 17 x 7 x 38 = 58786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58786
Therefore, the GCF of Fractions 189/17,258/91,622/494 is 1/58786
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 17,91,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,91,494) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(17,91,494) x common factors =1 x 13 = 13
LCM(17,91,494) = ( 17 × 91 × 494 ) / 13
LCM(17,91,494) = 764218 / 13
LCM(17,91,494) = 58786
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 189/17, 258/91, 622/494?
Answer: GCF of Numerators as per given numbers 189/17, 258/91, 622/494 is
GCF of Numerators i.e. for 189,258,622 is 1
LCM of denominators i.e. for 17,91,494 is 58786.
Thus, GCF of Fractions is 1/58786.Finally, GCF of Fractions for 189/17, 258/91, 622/494 is 1/58786.