Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9253/629,2981/579
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 9253,2981
Greatest Common Factor of Numerators i.e. GCF of 9253,2981 is 1 .
LCM of Denominators means LCM of 629,579 as per the given fractions.
LCM of 629,579 is 364191 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9253,2981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9253
List of positive integer factors of 9253 that divides 9253 without a remainder.
1,19,487,9253
Factors of 2981
List of positive integer factors of 2981 that divides 2981 without a remainder.
1,11,271,2981
Greatest Common Factor
We found the factors 9253,2981 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,2981 is 1.
Lets's calculate LCM of 629,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 364191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364191
Therefore, the GCF of Fractions 9253/629,2981/579 is 1/364191
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 629,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,579) x common factors =1 x 1 = 1
LCM(629,579) = ( 629 × 579 ) / 1
LCM(629,579) = 364191 / 1
LCM(629,579) = 364191
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 9253/629, 2981/579?
Answer: GCF of Numerators as per given numbers 9253/629, 2981/579 is
GCF of Numerators i.e. for 9253,2981 is 1
LCM of denominators i.e. for 629,579 is 364191.
Thus, GCF of Fractions is 1/364191.Finally, GCF of Fractions for 9253/629, 2981/579 is 1/364191.