Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 476/447,6409/491
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 476,6409
Greatest Common Factor of Numerators i.e. GCF of 476,6409 is 17 .
LCM of Denominators means LCM of 447,491 as per the given fractions.
LCM of 447,491 is 219477 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 476,6409
17 | 476, 6409 |
28, 377 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 6409
List of positive integer factors of 6409 that divides 6409 without a remainder.
1,13,17,29,221,377,493,6409
Greatest Common Factor
We found the factors 476,6409 . The biggest common factor number is the GCF number.
So the greatest common factor 476,6409 is 17.
Lets's calculate LCM of 447,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 219477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/219477
Therefore, the GCF of Fractions 476/447,6409/491 is 17/219477
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 447,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,491) x common factors =1 x 1 = 1
LCM(447,491) = ( 447 × 491 ) / 1
LCM(447,491) = 219477 / 1
LCM(447,491) = 219477
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 476/447, 6409/491?
Answer: GCF of Numerators as per given numbers 476/447, 6409/491 is
GCF of Numerators i.e. for 476,6409 is 17
LCM of denominators i.e. for 447,491 is 219477.
Thus, GCF of Fractions is 17/219477.Finally, GCF of Fractions for 476/447, 6409/491 is 17/219477.