Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9682/45,1852/432
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 9682,1852
Greatest Common Factor of Numerators i.e. GCF of 9682,1852 is 2 .
LCM of Denominators means LCM of 45,432 as per the given fractions.
LCM of 45,432 is 2160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9682,1852
2 | 9682, 1852 |
4841, 926 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9682
List of positive integer factors of 9682 that divides 9682 without a remainder.
1,2,47,94,103,206,4841,9682
Factors of 1852
List of positive integer factors of 1852 that divides 1852 without a remainder.
1,2,4,463,926,1852
Greatest Common Factor
We found the factors 9682,1852 . The biggest common factor number is the GCF number.
So the greatest common factor 9682,1852 is 2.
Lets's calculate LCM of 45,432
3 | 45, 432 |
3 | 15, 144 |
5, 48 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 48 = 2160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2160
Therefore, the GCF of Fractions 9682/45,1852/432 is 2/2160
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 45,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,432) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(45,432) x common factors =9 x 1 = 9
LCM(45,432) = ( 45 × 432 ) / 9
LCM(45,432) = 19440 / 9
LCM(45,432) = 2160
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 9682/45, 1852/432?
Answer: GCF of Numerators as per given numbers 9682/45, 1852/432 is
GCF of Numerators i.e. for 9682,1852 is 2
LCM of denominators i.e. for 45,432 is 2160.
Thus, GCF of Fractions is 2/2160.Finally, GCF of Fractions for 9682/45, 1852/432 is 2/2160.