Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2843/29,5754/295
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 2843,5754
Greatest Common Factor of Numerators i.e. GCF of 2843,5754 is 1 .
LCM of Denominators means LCM of 29,295 as per the given fractions.
LCM of 29,295 is 8555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2843,5754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2843
List of positive integer factors of 2843 that divides 2843 without a remainder.
1,2843
Factors of 5754
List of positive integer factors of 5754 that divides 5754 without a remainder.
1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 2843,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 2843,5754 is 1.
Lets's calculate LCM of 29,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 8555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8555
Therefore, the GCF of Fractions 2843/29,5754/295 is 1/8555
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 29,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,295) x common factors =1 x 1 = 1
LCM(29,295) = ( 29 × 295 ) / 1
LCM(29,295) = 8555 / 1
LCM(29,295) = 8555
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 2843/29, 5754/295?
Answer: GCF of Numerators as per given numbers 2843/29, 5754/295 is
GCF of Numerators i.e. for 2843,5754 is 1
LCM of denominators i.e. for 29,295 is 8555.
Thus, GCF of Fractions is 1/8555.Finally, GCF of Fractions for 2843/29, 5754/295 is 1/8555.