Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/82,461/89,512/317
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 544,461,512
Greatest Common Factor of Numerators i.e. GCF of 544,461,512 is 1 .
LCM of Denominators means LCM of 82,89,317 as per the given fractions.
LCM of 82,89,317 is 2313466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 544,461,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 544,461,512 . The biggest common factor number is the GCF number.
So the greatest common factor 544,461,512 is 1.
Lets's calculate LCM of 82,89,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 2313466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2313466
Therefore, the GCF of Fractions 544/82,461/89,512/317 is 1/2313466
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 82,89,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,89,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,89,317) x common factors =1 x 1 = 1
LCM(82,89,317) = ( 82 × 89 × 317 ) / 1
LCM(82,89,317) = 2313466 / 1
LCM(82,89,317) = 2313466
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 544/82, 461/89, 512/317?
Answer: GCF of Numerators as per given numbers 544/82, 461/89, 512/317 is
GCF of Numerators i.e. for 544,461,512 is 1
LCM of denominators i.e. for 82,89,317 is 2313466.
Thus, GCF of Fractions is 1/2313466.Finally, GCF of Fractions for 544/82, 461/89, 512/317 is 1/2313466.