Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/81,10/87,477/547
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 83,10,477
Greatest Common Factor of Numerators i.e. GCF of 83,10,477 is 1 .
LCM of Denominators means LCM of 81,87,547 as per the given fractions.
LCM of 81,87,547 is 1284903 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,10,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 83,10,477 . The biggest common factor number is the GCF number.
So the greatest common factor 83,10,477 is 1.
Lets's calculate LCM of 81,87,547
3 | 81, 87, 547 |
27, 29, 547 |
∴ So the LCM of the given numbers is 3 x 27 x 29 x 547 = 1284903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284903
Therefore, the GCF of Fractions 83/81,10/87,477/547 is 1/1284903
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 81,87,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,87,547) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(81,87,547) x common factors =1 x 3 = 3
LCM(81,87,547) = ( 81 × 87 × 547 ) / 3
LCM(81,87,547) = 3854709 / 3
LCM(81,87,547) = 1284903
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 83/81, 10/87, 477/547?
Answer: GCF of Numerators as per given numbers 83/81, 10/87, 477/547 is
GCF of Numerators i.e. for 83,10,477 is 1
LCM of denominators i.e. for 81,87,547 is 1284903.
Thus, GCF of Fractions is 1/1284903.Finally, GCF of Fractions for 83/81, 10/87, 477/547 is 1/1284903.