Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7646/307,1697/561
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 7646,1697
Greatest Common Factor of Numerators i.e. GCF of 7646,1697 is 1 .
LCM of Denominators means LCM of 307,561 as per the given fractions.
LCM of 307,561 is 172227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7646,1697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7646
List of positive integer factors of 7646 that divides 7646 without a remainder.
1,2,3823,7646
Factors of 1697
List of positive integer factors of 1697 that divides 1697 without a remainder.
1,1697
Greatest Common Factor
We found the factors 7646,1697 . The biggest common factor number is the GCF number.
So the greatest common factor 7646,1697 is 1.
Lets's calculate LCM of 307,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 172227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172227
Therefore, the GCF of Fractions 7646/307,1697/561 is 1/172227
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 307,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,561) x common factors =1 x 1 = 1
LCM(307,561) = ( 307 × 561 ) / 1
LCM(307,561) = 172227 / 1
LCM(307,561) = 172227
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 7646/307, 1697/561?
Answer: GCF of Numerators as per given numbers 7646/307, 1697/561 is
GCF of Numerators i.e. for 7646,1697 is 1
LCM of denominators i.e. for 307,561 is 172227.
Thus, GCF of Fractions is 1/172227.Finally, GCF of Fractions for 7646/307, 1697/561 is 1/172227.