Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/18,883/75,481/956
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 382,883,481
Greatest Common Factor of Numerators i.e. GCF of 382,883,481 is 1 .
LCM of Denominators means LCM of 18,75,956 as per the given fractions.
LCM of 18,75,956 is 215100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,883,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 382,883,481 . The biggest common factor number is the GCF number.
So the greatest common factor 382,883,481 is 1.
Lets's calculate LCM of 18,75,956
2 | 18, 75, 956 |
3 | 9, 75, 478 |
3, 25, 478 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 478 = 215100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215100
Therefore, the GCF of Fractions 382/18,883/75,481/956 is 1/215100
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 18,75,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,75,956) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,75,956) x common factors =1 x 6 = 6
LCM(18,75,956) = ( 18 × 75 × 956 ) / 6
LCM(18,75,956) = 1290600 / 6
LCM(18,75,956) = 215100
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 382/18, 883/75, 481/956?
Answer: GCF of Numerators as per given numbers 382/18, 883/75, 481/956 is
GCF of Numerators i.e. for 382,883,481 is 1
LCM of denominators i.e. for 18,75,956 is 215100.
Thus, GCF of Fractions is 1/215100.Finally, GCF of Fractions for 382/18, 883/75, 481/956 is 1/215100.