Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/24,704/2831
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 741,704
Greatest Common Factor of Numerators i.e. GCF of 741,704 is 1 .
LCM of Denominators means LCM of 24,2831 as per the given fractions.
LCM of 24,2831 is 67944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 741,704 . The biggest common factor number is the GCF number.
So the greatest common factor 741,704 is 1.
Lets's calculate LCM of 24,2831
Given numbers has no common factors except 1. So, there LCM is their product i.e 67944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67944
Therefore, the GCF of Fractions 741/24,704/2831 is 1/67944
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 24,2831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,2831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,2831) x common factors =1 x 1 = 1
LCM(24,2831) = ( 24 × 2831 ) / 1
LCM(24,2831) = 67944 / 1
LCM(24,2831) = 67944
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 741/24, 704/2831?
Answer: GCF of Numerators as per given numbers 741/24, 704/2831 is
GCF of Numerators i.e. for 741,704 is 1
LCM of denominators i.e. for 24,2831 is 67944.
Thus, GCF of Fractions is 1/67944.Finally, GCF of Fractions for 741/24, 704/2831 is 1/67944.