Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/54,267/22,272/774
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 787,267,272
Greatest Common Factor of Numerators i.e. GCF of 787,267,272 is 1 .
LCM of Denominators means LCM of 54,22,774 as per the given fractions.
LCM of 54,22,774 is 25542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,267,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 787,267,272 . The biggest common factor number is the GCF number.
So the greatest common factor 787,267,272 is 1.
Lets's calculate LCM of 54,22,774
2 | 54, 22, 774 |
3 | 27, 11, 387 |
3 | 9, 11, 129 |
3, 11, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 43 = 25542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25542
Therefore, the GCF of Fractions 787/54,267/22,272/774 is 1/25542
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 54,22,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,22,774) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(54,22,774) x common factors =2 x 18 = 36
LCM(54,22,774) = ( 54 × 22 × 774 ) / 36
LCM(54,22,774) = 919512 / 36
LCM(54,22,774) = 25542
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 787/54, 267/22, 272/774?
Answer: GCF of Numerators as per given numbers 787/54, 267/22, 272/774 is
GCF of Numerators i.e. for 787,267,272 is 1
LCM of denominators i.e. for 54,22,774 is 25542.
Thus, GCF of Fractions is 1/25542.Finally, GCF of Fractions for 787/54, 267/22, 272/774 is 1/25542.