Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5569/406,9807/8891
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 5569,9807
Greatest Common Factor of Numerators i.e. GCF of 5569,9807 is 1 .
LCM of Denominators means LCM of 406,8891 as per the given fractions.
LCM of 406,8891 is 3609746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5569,9807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5569
List of positive integer factors of 5569 that divides 5569 without a remainder.
1,5569
Factors of 9807
List of positive integer factors of 9807 that divides 9807 without a remainder.
1,3,7,21,467,1401,3269,9807
Greatest Common Factor
We found the factors 5569,9807 . The biggest common factor number is the GCF number.
So the greatest common factor 5569,9807 is 1.
Lets's calculate LCM of 406,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 3609746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3609746
Therefore, the GCF of Fractions 5569/406,9807/8891 is 1/3609746
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 406,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,8891) x common factors =1 x 1 = 1
LCM(406,8891) = ( 406 × 8891 ) / 1
LCM(406,8891) = 3609746 / 1
LCM(406,8891) = 3609746
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 5569/406, 9807/8891?
Answer: GCF of Numerators as per given numbers 5569/406, 9807/8891 is
GCF of Numerators i.e. for 5569,9807 is 1
LCM of denominators i.e. for 406,8891 is 3609746.
Thus, GCF of Fractions is 1/3609746.Finally, GCF of Fractions for 5569/406, 9807/8891 is 1/3609746.