Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/31,594/47,463/541
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 424,594,463
Greatest Common Factor of Numerators i.e. GCF of 424,594,463 is 1 .
LCM of Denominators means LCM of 31,47,541 as per the given fractions.
LCM of 31,47,541 is 788237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,594,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 424,594,463 . The biggest common factor number is the GCF number.
So the greatest common factor 424,594,463 is 1.
Lets's calculate LCM of 31,47,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 788237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/788237
Therefore, the GCF of Fractions 424/31,594/47,463/541 is 1/788237
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 31,47,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,47,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,47,541) x common factors =1 x 1 = 1
LCM(31,47,541) = ( 31 × 47 × 541 ) / 1
LCM(31,47,541) = 788237 / 1
LCM(31,47,541) = 788237
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 424/31, 594/47, 463/541?
Answer: GCF of Numerators as per given numbers 424/31, 594/47, 463/541 is
GCF of Numerators i.e. for 424,594,463 is 1
LCM of denominators i.e. for 31,47,541 is 788237.
Thus, GCF of Fractions is 1/788237.Finally, GCF of Fractions for 424/31, 594/47, 463/541 is 1/788237.