Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8343/302,7312/9919
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 8343,7312
Greatest Common Factor of Numerators i.e. GCF of 8343,7312 is 1 .
LCM of Denominators means LCM of 302,9919 as per the given fractions.
LCM of 302,9919 is 2995538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8343,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8343
List of positive integer factors of 8343 that divides 8343 without a remainder.
1,3,9,27,81,103,309,927,2781,8343
Factors of 7312
List of positive integer factors of 7312 that divides 7312 without a remainder.
1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 8343,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 8343,7312 is 1.
Lets's calculate LCM of 302,9919
Given numbers has no common factors except 1. So, there LCM is their product i.e 2995538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2995538
Therefore, the GCF of Fractions 8343/302,7312/9919 is 1/2995538
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 302,9919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,9919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,9919) x common factors =1 x 1 = 1
LCM(302,9919) = ( 302 × 9919 ) / 1
LCM(302,9919) = 2995538 / 1
LCM(302,9919) = 2995538
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 8343/302, 7312/9919?
Answer: GCF of Numerators as per given numbers 8343/302, 7312/9919 is
GCF of Numerators i.e. for 8343,7312 is 1
LCM of denominators i.e. for 302,9919 is 2995538.
Thus, GCF of Fractions is 1/2995538.Finally, GCF of Fractions for 8343/302, 7312/9919 is 1/2995538.