Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/84,937/87,168/531
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 779,937,168
Greatest Common Factor of Numerators i.e. GCF of 779,937,168 is 1 .
LCM of Denominators means LCM of 84,87,531 as per the given fractions.
LCM of 84,87,531 is 431172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,937,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 779,937,168 . The biggest common factor number is the GCF number.
So the greatest common factor 779,937,168 is 1.
Lets's calculate LCM of 84,87,531
3 | 84, 87, 531 |
28, 29, 177 |
∴ So the LCM of the given numbers is 3 x 28 x 29 x 177 = 431172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431172
Therefore, the GCF of Fractions 779/84,937/87,168/531 is 1/431172
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 84,87,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,87,531) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(84,87,531) x common factors =3 x 3 = 9
LCM(84,87,531) = ( 84 × 87 × 531 ) / 9
LCM(84,87,531) = 3880548 / 9
LCM(84,87,531) = 431172
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 779/84, 937/87, 168/531?
Answer: GCF of Numerators as per given numbers 779/84, 937/87, 168/531 is
GCF of Numerators i.e. for 779,937,168 is 1
LCM of denominators i.e. for 84,87,531 is 431172.
Thus, GCF of Fractions is 1/431172.Finally, GCF of Fractions for 779/84, 937/87, 168/531 is 1/431172.