Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/337,944/929
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 29,944
Greatest Common Factor of Numerators i.e. GCF of 29,944 is 1 .
LCM of Denominators means LCM of 337,929 as per the given fractions.
LCM of 337,929 is 313073 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,944
∴ 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 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 29,944 . The biggest common factor number is the GCF number.
So the greatest common factor 29,944 is 1.
Lets's calculate LCM of 337,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 313073
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313073
Therefore, the GCF of Fractions 29/337,944/929 is 1/313073
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 337,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,929) x common factors =1 x 1 = 1
LCM(337,929) = ( 337 × 929 ) / 1
LCM(337,929) = 313073 / 1
LCM(337,929) = 313073
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 29/337, 944/929?
Answer: GCF of Numerators as per given numbers 29/337, 944/929 is
GCF of Numerators i.e. for 29,944 is 1
LCM of denominators i.e. for 337,929 is 313073.
Thus, GCF of Fractions is 1/313073.Finally, GCF of Fractions for 29/337, 944/929 is 1/313073.