Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8409/263,9758/489
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 8409,9758
Greatest Common Factor of Numerators i.e. GCF of 8409,9758 is 1 .
LCM of Denominators means LCM of 263,489 as per the given fractions.
LCM of 263,489 is 128607 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8409,9758
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8409
List of positive integer factors of 8409 that divides 8409 without a remainder.
1,3,2803,8409
Factors of 9758
List of positive integer factors of 9758 that divides 9758 without a remainder.
1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors 8409,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,9758 is 1.
Lets's calculate LCM of 263,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 128607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128607
Therefore, the GCF of Fractions 8409/263,9758/489 is 1/128607
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 263,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,489) x common factors =1 x 1 = 1
LCM(263,489) = ( 263 × 489 ) / 1
LCM(263,489) = 128607 / 1
LCM(263,489) = 128607
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 8409/263, 9758/489?
Answer: GCF of Numerators as per given numbers 8409/263, 9758/489 is
GCF of Numerators i.e. for 8409,9758 is 1
LCM of denominators i.e. for 263,489 is 128607.
Thus, GCF of Fractions is 1/128607.Finally, GCF of Fractions for 8409/263, 9758/489 is 1/128607.