Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4741/209,8336/821
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 4741,8336
Greatest Common Factor of Numerators i.e. GCF of 4741,8336 is 1 .
LCM of Denominators means LCM of 209,821 as per the given fractions.
LCM of 209,821 is 171589 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4741,8336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4741
List of positive integer factors of 4741 that divides 4741 without a remainder.
1,11,431,4741
Factors of 8336
List of positive integer factors of 8336 that divides 8336 without a remainder.
1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 4741,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 4741,8336 is 1.
Lets's calculate LCM of 209,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 171589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171589
Therefore, the GCF of Fractions 4741/209,8336/821 is 1/171589
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 209,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,821) x common factors =1 x 1 = 1
LCM(209,821) = ( 209 × 821 ) / 1
LCM(209,821) = 171589 / 1
LCM(209,821) = 171589
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 4741/209, 8336/821?
Answer: GCF of Numerators as per given numbers 4741/209, 8336/821 is
GCF of Numerators i.e. for 4741,8336 is 1
LCM of denominators i.e. for 209,821 is 171589.
Thus, GCF of Fractions is 1/171589.Finally, GCF of Fractions for 4741/209, 8336/821 is 1/171589.