Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/87,891/84,165/313
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 211,891,165
Greatest Common Factor of Numerators i.e. GCF of 211,891,165 is 1 .
LCM of Denominators means LCM of 87,84,313 as per the given fractions.
LCM of 87,84,313 is 762468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 211,891,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
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
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 211,891,165 . The biggest common factor number is the GCF number.
So the greatest common factor 211,891,165 is 1.
Lets's calculate LCM of 87,84,313
3 | 87, 84, 313 |
29, 28, 313 |
∴ So the LCM of the given numbers is 3 x 29 x 28 x 313 = 762468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762468
Therefore, the GCF of Fractions 211/87,891/84,165/313 is 1/762468
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 87,84,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,84,313) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,84,313) x common factors =1 x 3 = 3
LCM(87,84,313) = ( 87 × 84 × 313 ) / 3
LCM(87,84,313) = 2287404 / 3
LCM(87,84,313) = 762468
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 211/87, 891/84, 165/313?
Answer: GCF of Numerators as per given numbers 211/87, 891/84, 165/313 is
GCF of Numerators i.e. for 211,891,165 is 1
LCM of denominators i.e. for 87,84,313 is 762468.
Thus, GCF of Fractions is 1/762468.Finally, GCF of Fractions for 211/87, 891/84, 165/313 is 1/762468.