Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/862,855/582,611/249
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 626,855,611
Greatest Common Factor of Numerators i.e. GCF of 626,855,611 is 1 .
LCM of Denominators means LCM of 862,582,249 as per the given fractions.
LCM of 862,582,249 is 20819886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,855,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 626,855,611 . The biggest common factor number is the GCF number.
So the greatest common factor 626,855,611 is 1.
Lets's calculate LCM of 862,582,249
2 | 862, 582, 249 |
3 | 431, 291, 249 |
431, 97, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 431 x 97 x 83 = 20819886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20819886
Therefore, the GCF of Fractions 626/862,855/582,611/249 is 1/20819886
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 862,582,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,582,249) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(862,582,249) x common factors =1 x 6 = 6
LCM(862,582,249) = ( 862 × 582 × 249 ) / 6
LCM(862,582,249) = 124919316 / 6
LCM(862,582,249) = 20819886
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 626/862, 855/582, 611/249?
Answer: GCF of Numerators as per given numbers 626/862, 855/582, 611/249 is
GCF of Numerators i.e. for 626,855,611 is 1
LCM of denominators i.e. for 862,582,249 is 20819886.
Thus, GCF of Fractions is 1/20819886.Finally, GCF of Fractions for 626/862, 855/582, 611/249 is 1/20819886.