Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/108,498/906,691/918
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 775,498,691
Greatest Common Factor of Numerators i.e. GCF of 775,498,691 is 1 .
LCM of Denominators means LCM of 108,906,918 as per the given fractions.
LCM of 108,906,918 is 277236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,498,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 775,498,691 . The biggest common factor number is the GCF number.
So the greatest common factor 775,498,691 is 1.
Lets's calculate LCM of 108,906,918
2 | 108, 906, 918 |
3 | 54, 453, 459 |
3 | 18, 151, 153 |
3 | 6, 151, 51 |
2, 151, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 2 x 151 x 17 = 277236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277236
Therefore, the GCF of Fractions 775/108,498/906,691/918 is 1/277236
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 108,906,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,906,918) = 6
common factors(in case of two or more numbers have common factors) = 54
GCF(108,906,918) x common factors =6 x 54 = 324
LCM(108,906,918) = ( 108 × 906 × 918 ) / 324
LCM(108,906,918) = 89824464 / 324
LCM(108,906,918) = 277236
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 775/108, 498/906, 691/918?
Answer: GCF of Numerators as per given numbers 775/108, 498/906, 691/918 is
GCF of Numerators i.e. for 775,498,691 is 1
LCM of denominators i.e. for 108,906,918 is 277236.
Thus, GCF of Fractions is 1/277236.Finally, GCF of Fractions for 775/108, 498/906, 691/918 is 1/277236.