Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/486,2393/2587
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 29,2393
Greatest Common Factor of Numerators i.e. GCF of 29,2393 is 1 .
LCM of Denominators means LCM of 486,2587 as per the given fractions.
LCM of 486,2587 is 1257282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,2393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 2393
List of positive integer factors of 2393 that divides 2393 without a remainder.
1,2393
Greatest Common Factor
We found the factors 29,2393 . The biggest common factor number is the GCF number.
So the greatest common factor 29,2393 is 1.
Lets's calculate LCM of 486,2587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1257282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1257282
Therefore, the GCF of Fractions 29/486,2393/2587 is 1/1257282
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 486,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,2587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,2587) x common factors =1 x 1 = 1
LCM(486,2587) = ( 486 × 2587 ) / 1
LCM(486,2587) = 1257282 / 1
LCM(486,2587) = 1257282
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 29/486, 2393/2587?
Answer: GCF of Numerators as per given numbers 29/486, 2393/2587 is
GCF of Numerators i.e. for 29,2393 is 1
LCM of denominators i.e. for 486,2587 is 1257282.
Thus, GCF of Fractions is 1/1257282.Finally, GCF of Fractions for 29/486, 2393/2587 is 1/1257282.