Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2741/281,9016/929
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 2741,9016
Greatest Common Factor of Numerators i.e. GCF of 2741,9016 is 1 .
LCM of Denominators means LCM of 281,929 as per the given fractions.
LCM of 281,929 is 261049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2741,9016
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2741
List of positive integer factors of 2741 that divides 2741 without a remainder.
1,2741
Factors of 9016
List of positive integer factors of 9016 that divides 9016 without a remainder.
1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 2741,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 2741,9016 is 1.
Lets's calculate LCM of 281,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 261049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261049
Therefore, the GCF of Fractions 2741/281,9016/929 is 1/261049
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 281,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,929) x common factors =1 x 1 = 1
LCM(281,929) = ( 281 × 929 ) / 1
LCM(281,929) = 261049 / 1
LCM(281,929) = 261049
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 2741/281, 9016/929?
Answer: GCF of Numerators as per given numbers 2741/281, 9016/929 is
GCF of Numerators i.e. for 2741,9016 is 1
LCM of denominators i.e. for 281,929 is 261049.
Thus, GCF of Fractions is 1/261049.Finally, GCF of Fractions for 2741/281, 9016/929 is 1/261049.