Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 195/78,994/81,609/518
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 195,994,609
Greatest Common Factor of Numerators i.e. GCF of 195,994,609 is 1 .
LCM of Denominators means LCM of 78,81,518 as per the given fractions.
LCM of 78,81,518 is 545454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 195,994,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 195,994,609 . The biggest common factor number is the GCF number.
So the greatest common factor 195,994,609 is 1.
Lets's calculate LCM of 78,81,518
2 | 78, 81, 518 |
3 | 39, 81, 259 |
13, 27, 259 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 27 x 259 = 545454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545454
Therefore, the GCF of Fractions 195/78,994/81,609/518 is 1/545454
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 78,81,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,81,518) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,81,518) x common factors =1 x 6 = 6
LCM(78,81,518) = ( 78 × 81 × 518 ) / 6
LCM(78,81,518) = 3272724 / 6
LCM(78,81,518) = 545454
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 195/78, 994/81, 609/518?
Answer: GCF of Numerators as per given numbers 195/78, 994/81, 609/518 is
GCF of Numerators i.e. for 195,994,609 is 1
LCM of denominators i.e. for 78,81,518 is 545454.
Thus, GCF of Fractions is 1/545454.Finally, GCF of Fractions for 195/78, 994/81, 609/518 is 1/545454.