Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1306/724,6337/9869
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 1306,6337
Greatest Common Factor of Numerators i.e. GCF of 1306,6337 is 1 .
LCM of Denominators means LCM of 724,9869 as per the given fractions.
LCM of 724,9869 is 7145156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1306,6337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1306
List of positive integer factors of 1306 that divides 1306 without a remainder.
1,2,653,1306
Factors of 6337
List of positive integer factors of 6337 that divides 6337 without a remainder.
1,6337
Greatest Common Factor
We found the factors 1306,6337 . The biggest common factor number is the GCF number.
So the greatest common factor 1306,6337 is 1.
Lets's calculate LCM of 724,9869
Given numbers has no common factors except 1. So, there LCM is their product i.e 7145156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7145156
Therefore, the GCF of Fractions 1306/724,6337/9869 is 1/7145156
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 724,9869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,9869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,9869) x common factors =1 x 1 = 1
LCM(724,9869) = ( 724 × 9869 ) / 1
LCM(724,9869) = 7145156 / 1
LCM(724,9869) = 7145156
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 1306/724, 6337/9869?
Answer: GCF of Numerators as per given numbers 1306/724, 6337/9869 is
GCF of Numerators i.e. for 1306,6337 is 1
LCM of denominators i.e. for 724,9869 is 7145156.
Thus, GCF of Fractions is 1/7145156.Finally, GCF of Fractions for 1306/724, 6337/9869 is 1/7145156.