Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 834/219,6405/449
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 834,6405
Greatest Common Factor of Numerators i.e. GCF of 834,6405 is 3 .
LCM of Denominators means LCM of 219,449 as per the given fractions.
LCM of 219,449 is 98331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 834,6405
3 | 834, 6405 |
278, 2135 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 6405
List of positive integer factors of 6405 that divides 6405 without a remainder.
1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 834,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 834,6405 is 3.
Lets's calculate LCM of 219,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 98331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/98331
Therefore, the GCF of Fractions 834/219,6405/449 is 3/98331
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 219,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,449) x common factors =1 x 1 = 1
LCM(219,449) = ( 219 × 449 ) / 1
LCM(219,449) = 98331 / 1
LCM(219,449) = 98331
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 834/219, 6405/449?
Answer: GCF of Numerators as per given numbers 834/219, 6405/449 is
GCF of Numerators i.e. for 834,6405 is 3
LCM of denominators i.e. for 219,449 is 98331.
Thus, GCF of Fractions is 3/98331.Finally, GCF of Fractions for 834/219, 6405/449 is 3/98331.