Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/449,6490/246
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 410,6490
Greatest Common Factor of Numerators i.e. GCF of 410,6490 is 10 .
LCM of Denominators means LCM of 449,246 as per the given fractions.
LCM of 449,246 is 110454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 410,6490
2 | 410, 6490 |
5 | 205, 3245 |
41, 649 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 6490
List of positive integer factors of 6490 that divides 6490 without a remainder.
1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 410,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 410,6490 is 10.
Lets's calculate LCM of 449,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 110454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/110454
Therefore, the GCF of Fractions 410/449,6490/246 is 10/110454
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 449,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,246) x common factors =1 x 1 = 1
LCM(449,246) = ( 449 × 246 ) / 1
LCM(449,246) = 110454 / 1
LCM(449,246) = 110454
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 410/449, 6490/246?
Answer: GCF of Numerators as per given numbers 410/449, 6490/246 is
GCF of Numerators i.e. for 410,6490 is 10
LCM of denominators i.e. for 449,246 is 110454.
Thus, GCF of Fractions is 10/110454.Finally, GCF of Fractions for 410/449, 6490/246 is 10/110454.