Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5717/211,5634/878
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 5717,5634
Greatest Common Factor of Numerators i.e. GCF of 5717,5634 is 1 .
LCM of Denominators means LCM of 211,878 as per the given fractions.
LCM of 211,878 is 185258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5717,5634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5717
List of positive integer factors of 5717 that divides 5717 without a remainder.
1,5717
Factors of 5634
List of positive integer factors of 5634 that divides 5634 without a remainder.
1,2,3,6,9,18,313,626,939,1878,2817,5634
Greatest Common Factor
We found the factors 5717,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 5717,5634 is 1.
Lets's calculate LCM of 211,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 185258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185258
Therefore, the GCF of Fractions 5717/211,5634/878 is 1/185258
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 211,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,878) x common factors =1 x 1 = 1
LCM(211,878) = ( 211 × 878 ) / 1
LCM(211,878) = 185258 / 1
LCM(211,878) = 185258
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 5717/211, 5634/878?
Answer: GCF of Numerators as per given numbers 5717/211, 5634/878 is
GCF of Numerators i.e. for 5717,5634 is 1
LCM of denominators i.e. for 211,878 is 185258.
Thus, GCF of Fractions is 1/185258.Finally, GCF of Fractions for 5717/211, 5634/878 is 1/185258.