Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/987,291/885,205/926
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 80,291,205
Greatest Common Factor of Numerators i.e. GCF of 80,291,205 is 1 .
LCM of Denominators means LCM of 987,885,926 as per the given fractions.
LCM of 987,885,926 is 269618790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,291,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 80,291,205 . The biggest common factor number is the GCF number.
So the greatest common factor 80,291,205 is 1.
Lets's calculate LCM of 987,885,926
3 | 987, 885, 926 |
329, 295, 926 |
∴ So the LCM of the given numbers is 3 x 329 x 295 x 926 = 269618790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269618790
Therefore, the GCF of Fractions 80/987,291/885,205/926 is 1/269618790
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 987,885,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,885,926) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(987,885,926) x common factors =1 x 3 = 3
LCM(987,885,926) = ( 987 × 885 × 926 ) / 3
LCM(987,885,926) = 808856370 / 3
LCM(987,885,926) = 269618790
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 80/987, 291/885, 205/926?
Answer: GCF of Numerators as per given numbers 80/987, 291/885, 205/926 is
GCF of Numerators i.e. for 80,291,205 is 1
LCM of denominators i.e. for 987,885,926 is 269618790.
Thus, GCF of Fractions is 1/269618790.Finally, GCF of Fractions for 80/987, 291/885, 205/926 is 1/269618790.