Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/249,4189/427
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 591,4189
Greatest Common Factor of Numerators i.e. GCF of 591,4189 is 1 .
LCM of Denominators means LCM of 249,427 as per the given fractions.
LCM of 249,427 is 106323 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 591,4189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 4189
List of positive integer factors of 4189 that divides 4189 without a remainder.
1,59,71,4189
Greatest Common Factor
We found the factors 591,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 591,4189 is 1.
Lets's calculate LCM of 249,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 106323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106323
Therefore, the GCF of Fractions 591/249,4189/427 is 1/106323
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 249,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,427) x common factors =1 x 1 = 1
LCM(249,427) = ( 249 × 427 ) / 1
LCM(249,427) = 106323 / 1
LCM(249,427) = 106323
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 591/249, 4189/427?
Answer: GCF of Numerators as per given numbers 591/249, 4189/427 is
GCF of Numerators i.e. for 591,4189 is 1
LCM of denominators i.e. for 249,427 is 106323.
Thus, GCF of Fractions is 1/106323.Finally, GCF of Fractions for 591/249, 4189/427 is 1/106323.