Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/687,477/238,941/510
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 321,477,941
Greatest Common Factor of Numerators i.e. GCF of 321,477,941 is 1 .
LCM of Denominators means LCM of 687,238,510 as per the given fractions.
LCM of 687,238,510 is 817530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,477,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 321,477,941 . The biggest common factor number is the GCF number.
So the greatest common factor 321,477,941 is 1.
Lets's calculate LCM of 687,238,510
2 | 687, 238, 510 |
3 | 687, 119, 255 |
17 | 229, 119, 85 |
229, 7, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 229 x 7 x 5 = 817530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817530
Therefore, the GCF of Fractions 321/687,477/238,941/510 is 1/817530
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 687,238,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,238,510) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(687,238,510) x common factors =1 x 102 = 102
LCM(687,238,510) = ( 687 × 238 × 510 ) / 102
LCM(687,238,510) = 83388060 / 102
LCM(687,238,510) = 817530
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 321/687, 477/238, 941/510?
Answer: GCF of Numerators as per given numbers 321/687, 477/238, 941/510 is
GCF of Numerators i.e. for 321,477,941 is 1
LCM of denominators i.e. for 687,238,510 is 817530.
Thus, GCF of Fractions is 1/817530.Finally, GCF of Fractions for 321/687, 477/238, 941/510 is 1/817530.