Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/461,794/527
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 29,794
Greatest Common Factor of Numerators i.e. GCF of 29,794 is 1 .
LCM of Denominators means LCM of 461,527 as per the given fractions.
LCM of 461,527 is 242947 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,794
∴ 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 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 29,794 . The biggest common factor number is the GCF number.
So the greatest common factor 29,794 is 1.
Lets's calculate LCM of 461,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 242947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242947
Therefore, the GCF of Fractions 29/461,794/527 is 1/242947
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 461,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,527) x common factors =1 x 1 = 1
LCM(461,527) = ( 461 × 527 ) / 1
LCM(461,527) = 242947 / 1
LCM(461,527) = 242947
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 29/461, 794/527?
Answer: GCF of Numerators as per given numbers 29/461, 794/527 is
GCF of Numerators i.e. for 29,794 is 1
LCM of denominators i.e. for 461,527 is 242947.
Thus, GCF of Fractions is 1/242947.Finally, GCF of Fractions for 29/461, 794/527 is 1/242947.