Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/71,774/99,209/18
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 9,774,209
Greatest Common Factor of Numerators i.e. GCF of 9,774,209 is 1 .
LCM of Denominators means LCM of 71,99,18 as per the given fractions.
LCM of 71,99,18 is 14058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,774,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 9,774,209 . The biggest common factor number is the GCF number.
So the greatest common factor 9,774,209 is 1.
Lets's calculate LCM of 71,99,18
3 | 71, 99, 18 |
3 | 71, 33, 6 |
71, 11, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 11 x 2 = 14058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14058
Therefore, the GCF of Fractions 9/71,774/99,209/18 is 1/14058
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 71,99,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,99,18) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(71,99,18) x common factors =1 x 9 = 9
LCM(71,99,18) = ( 71 × 99 × 18 ) / 9
LCM(71,99,18) = 126522 / 9
LCM(71,99,18) = 14058
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 9/71, 774/99, 209/18?
Answer: GCF of Numerators as per given numbers 9/71, 774/99, 209/18 is
GCF of Numerators i.e. for 9,774,209 is 1
LCM of denominators i.e. for 71,99,18 is 14058.
Thus, GCF of Fractions is 1/14058.Finally, GCF of Fractions for 9/71, 774/99, 209/18 is 1/14058.