Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1051/307,8329/2749
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 1051,8329
Greatest Common Factor of Numerators i.e. GCF of 1051,8329 is 1 .
LCM of Denominators means LCM of 307,2749 as per the given fractions.
LCM of 307,2749 is 843943 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1051,8329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1,1051
Factors of 8329
List of positive integer factors of 8329 that divides 8329 without a remainder.
1,8329
Greatest Common Factor
We found the factors 1051,8329 . The biggest common factor number is the GCF number.
So the greatest common factor 1051,8329 is 1.
Lets's calculate LCM of 307,2749
Given numbers has no common factors except 1. So, there LCM is their product i.e 843943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843943
Therefore, the GCF of Fractions 1051/307,8329/2749 is 1/843943
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 307,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,2749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,2749) x common factors =1 x 1 = 1
LCM(307,2749) = ( 307 × 2749 ) / 1
LCM(307,2749) = 843943 / 1
LCM(307,2749) = 843943
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 1051/307, 8329/2749?
Answer: GCF of Numerators as per given numbers 1051/307, 8329/2749 is
GCF of Numerators i.e. for 1051,8329 is 1
LCM of denominators i.e. for 307,2749 is 843943.
Thus, GCF of Fractions is 1/843943.Finally, GCF of Fractions for 1051/307, 8329/2749 is 1/843943.