Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/50,806/81,491/162
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 78,806,491
Greatest Common Factor of Numerators i.e. GCF of 78,806,491 is 1 .
LCM of Denominators means LCM of 50,81,162 as per the given fractions.
LCM of 50,81,162 is 4050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,806,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 78,806,491 . The biggest common factor number is the GCF number.
So the greatest common factor 78,806,491 is 1.
Lets's calculate LCM of 50,81,162
2 | 50, 81, 162 |
3 | 25, 81, 81 |
3 | 25, 27, 27 |
3 | 25, 9, 9 |
3 | 25, 3, 3 |
25, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 25 x 1 x 1 = 4050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4050
Therefore, the GCF of Fractions 78/50,806/81,491/162 is 1/4050
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 50,81,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,81,162) = 1
common factors(in case of two or more numbers have common factors) = 162
GCF(50,81,162) x common factors =1 x 162 = 162
LCM(50,81,162) = ( 50 × 81 × 162 ) / 162
LCM(50,81,162) = 656100 / 162
LCM(50,81,162) = 4050
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 78/50, 806/81, 491/162?
Answer: GCF of Numerators as per given numbers 78/50, 806/81, 491/162 is
GCF of Numerators i.e. for 78,806,491 is 1
LCM of denominators i.e. for 50,81,162 is 4050.
Thus, GCF of Fractions is 1/4050.Finally, GCF of Fractions for 78/50, 806/81, 491/162 is 1/4050.