Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9855/983,2439/738
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 9855,2439
Greatest Common Factor of Numerators i.e. GCF of 9855,2439 is 9 .
LCM of Denominators means LCM of 983,738 as per the given fractions.
LCM of 983,738 is 725454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9855,2439
3 | 9855, 2439 |
3 | 3285, 813 |
1095, 271 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Factors of 2439
List of positive integer factors of 2439 that divides 2439 without a remainder.
1,3,9,271,813,2439
Greatest Common Factor
We found the factors 9855,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,2439 is 9.
Lets's calculate LCM of 983,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 725454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/725454
Therefore, the GCF of Fractions 9855/983,2439/738 is 9/725454
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 983,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,738) x common factors =1 x 1 = 1
LCM(983,738) = ( 983 × 738 ) / 1
LCM(983,738) = 725454 / 1
LCM(983,738) = 725454
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 9855/983, 2439/738?
Answer: GCF of Numerators as per given numbers 9855/983, 2439/738 is
GCF of Numerators i.e. for 9855,2439 is 9
LCM of denominators i.e. for 983,738 is 725454.
Thus, GCF of Fractions is 9/725454.Finally, GCF of Fractions for 9855/983, 2439/738 is 9/725454.