Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9106/759,9811/545
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 9106,9811
Greatest Common Factor of Numerators i.e. GCF of 9106,9811 is 1 .
LCM of Denominators means LCM of 759,545 as per the given fractions.
LCM of 759,545 is 413655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9106,9811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9106
List of positive integer factors of 9106 that divides 9106 without a remainder.
1,2,29,58,157,314,4553,9106
Factors of 9811
List of positive integer factors of 9811 that divides 9811 without a remainder.
1,9811
Greatest Common Factor
We found the factors 9106,9811 . The biggest common factor number is the GCF number.
So the greatest common factor 9106,9811 is 1.
Lets's calculate LCM of 759,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 413655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413655
Therefore, the GCF of Fractions 9106/759,9811/545 is 1/413655
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 759,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,545) x common factors =1 x 1 = 1
LCM(759,545) = ( 759 × 545 ) / 1
LCM(759,545) = 413655 / 1
LCM(759,545) = 413655
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 9106/759, 9811/545?
Answer: GCF of Numerators as per given numbers 9106/759, 9811/545 is
GCF of Numerators i.e. for 9106,9811 is 1
LCM of denominators i.e. for 759,545 is 413655.
Thus, GCF of Fractions is 1/413655.Finally, GCF of Fractions for 9106/759, 9811/545 is 1/413655.