Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/37,83/27,851/556
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 59,83,851
Greatest Common Factor of Numerators i.e. GCF of 59,83,851 is 1 .
LCM of Denominators means LCM of 37,27,556 as per the given fractions.
LCM of 37,27,556 is 555444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,83,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 59,83,851 . The biggest common factor number is the GCF number.
So the greatest common factor 59,83,851 is 1.
Lets's calculate LCM of 37,27,556
Given numbers has no common factors except 1. So, there LCM is their product i.e 555444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555444
Therefore, the GCF of Fractions 59/37,83/27,851/556 is 1/555444
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 37,27,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,27,556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,27,556) x common factors =1 x 1 = 1
LCM(37,27,556) = ( 37 × 27 × 556 ) / 1
LCM(37,27,556) = 555444 / 1
LCM(37,27,556) = 555444
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 59/37, 83/27, 851/556?
Answer: GCF of Numerators as per given numbers 59/37, 83/27, 851/556 is
GCF of Numerators i.e. for 59,83,851 is 1
LCM of denominators i.e. for 37,27,556 is 555444.
Thus, GCF of Fractions is 1/555444.Finally, GCF of Fractions for 59/37, 83/27, 851/556 is 1/555444.