Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/28,331/36,891/414
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 605,331,891
Greatest Common Factor of Numerators i.e. GCF of 605,331,891 is 1 .
LCM of Denominators means LCM of 28,36,414 as per the given fractions.
LCM of 28,36,414 is 5796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,331,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 605,331,891 . The biggest common factor number is the GCF number.
So the greatest common factor 605,331,891 is 1.
Lets's calculate LCM of 28,36,414
2 | 28, 36, 414 |
2 | 14, 18, 207 |
3 | 7, 9, 207 |
3 | 7, 3, 69 |
7, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 23 = 5796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796
Therefore, the GCF of Fractions 605/28,331/36,891/414 is 1/5796
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 28,36,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,36,414) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(28,36,414) x common factors =2 x 36 = 72
LCM(28,36,414) = ( 28 × 36 × 414 ) / 72
LCM(28,36,414) = 417312 / 72
LCM(28,36,414) = 5796
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 605/28, 331/36, 891/414?
Answer: GCF of Numerators as per given numbers 605/28, 331/36, 891/414 is
GCF of Numerators i.e. for 605,331,891 is 1
LCM of denominators i.e. for 28,36,414 is 5796.
Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 605/28, 331/36, 891/414 is 1/5796.