Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/283,2538/8683
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 355,2538
Greatest Common Factor of Numerators i.e. GCF of 355,2538 is 1 .
LCM of Denominators means LCM of 283,8683 as per the given fractions.
LCM of 283,8683 is 2457289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,2538
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 2538
List of positive integer factors of 2538 that divides 2538 without a remainder.
1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 355,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 355,2538 is 1.
Lets's calculate LCM of 283,8683
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2457289
Therefore, the GCF of Fractions 355/283,2538/8683 is 1/2457289
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 283,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,8683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,8683) x common factors =1 x 1 = 1
LCM(283,8683) = ( 283 × 8683 ) / 1
LCM(283,8683) = 2457289 / 1
LCM(283,8683) = 2457289
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 355/283, 2538/8683?
Answer: GCF of Numerators as per given numbers 355/283, 2538/8683 is
GCF of Numerators i.e. for 355,2538 is 1
LCM of denominators i.e. for 283,8683 is 2457289.
Thus, GCF of Fractions is 1/2457289.Finally, GCF of Fractions for 355/283, 2538/8683 is 1/2457289.