Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9337/943,5254/6298
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 9337,5254
Greatest Common Factor of Numerators i.e. GCF of 9337,5254 is 1 .
LCM of Denominators means LCM of 943,6298 as per the given fractions.
LCM of 943,6298 is 5939014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9337,5254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9337
List of positive integer factors of 9337 that divides 9337 without a remainder.
1,9337
Factors of 5254
List of positive integer factors of 5254 that divides 5254 without a remainder.
1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 9337,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 9337,5254 is 1.
Lets's calculate LCM of 943,6298
Given numbers has no common factors except 1. So, there LCM is their product i.e 5939014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5939014
Therefore, the GCF of Fractions 9337/943,5254/6298 is 1/5939014
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 943,6298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,6298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,6298) x common factors =1 x 1 = 1
LCM(943,6298) = ( 943 × 6298 ) / 1
LCM(943,6298) = 5939014 / 1
LCM(943,6298) = 5939014
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 9337/943, 5254/6298?
Answer: GCF of Numerators as per given numbers 9337/943, 5254/6298 is
GCF of Numerators i.e. for 9337,5254 is 1
LCM of denominators i.e. for 943,6298 is 5939014.
Thus, GCF of Fractions is 1/5939014.Finally, GCF of Fractions for 9337/943, 5254/6298 is 1/5939014.