Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/205,406/461,535/926
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 44,406,535
Greatest Common Factor of Numerators i.e. GCF of 44,406,535 is 1 .
LCM of Denominators means LCM of 205,461,926 as per the given fractions.
LCM of 205,461,926 is 87511630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,406,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 44,406,535 . The biggest common factor number is the GCF number.
So the greatest common factor 44,406,535 is 1.
Lets's calculate LCM of 205,461,926
Given numbers has no common factors except 1. So, there LCM is their product i.e 87511630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87511630
Therefore, the GCF of Fractions 44/205,406/461,535/926 is 1/87511630
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 205,461,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,461,926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,461,926) x common factors =1 x 1 = 1
LCM(205,461,926) = ( 205 × 461 × 926 ) / 1
LCM(205,461,926) = 87511630 / 1
LCM(205,461,926) = 87511630
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 44/205, 406/461, 535/926?
Answer: GCF of Numerators as per given numbers 44/205, 406/461, 535/926 is
GCF of Numerators i.e. for 44,406,535 is 1
LCM of denominators i.e. for 205,461,926 is 87511630.
Thus, GCF of Fractions is 1/87511630.Finally, GCF of Fractions for 44/205, 406/461, 535/926 is 1/87511630.