Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8394/436,8429/8217
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 8394,8429
Greatest Common Factor of Numerators i.e. GCF of 8394,8429 is 1 .
LCM of Denominators means LCM of 436,8217 as per the given fractions.
LCM of 436,8217 is 3582612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8394,8429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8394
List of positive integer factors of 8394 that divides 8394 without a remainder.
1,2,3,6,1399,2798,4197,8394
Factors of 8429
List of positive integer factors of 8429 that divides 8429 without a remainder.
1,8429
Greatest Common Factor
We found the factors 8394,8429 . The biggest common factor number is the GCF number.
So the greatest common factor 8394,8429 is 1.
Lets's calculate LCM of 436,8217
Given numbers has no common factors except 1. So, there LCM is their product i.e 3582612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3582612
Therefore, the GCF of Fractions 8394/436,8429/8217 is 1/3582612
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 436,8217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,8217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,8217) x common factors =1 x 1 = 1
LCM(436,8217) = ( 436 × 8217 ) / 1
LCM(436,8217) = 3582612 / 1
LCM(436,8217) = 3582612
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 8394/436, 8429/8217?
Answer: GCF of Numerators as per given numbers 8394/436, 8429/8217 is
GCF of Numerators i.e. for 8394,8429 is 1
LCM of denominators i.e. for 436,8217 is 3582612.
Thus, GCF of Fractions is 1/3582612.Finally, GCF of Fractions for 8394/436, 8429/8217 is 1/3582612.