Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8473/73,4323/652
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 8473,4323
Greatest Common Factor of Numerators i.e. GCF of 8473,4323 is 1 .
LCM of Denominators means LCM of 73,652 as per the given fractions.
LCM of 73,652 is 47596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8473,4323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8473
List of positive integer factors of 8473 that divides 8473 without a remainder.
1,37,229,8473
Factors of 4323
List of positive integer factors of 4323 that divides 4323 without a remainder.
1,3,11,33,131,393,1441,4323
Greatest Common Factor
We found the factors 8473,4323 . The biggest common factor number is the GCF number.
So the greatest common factor 8473,4323 is 1.
Lets's calculate LCM of 73,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 47596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47596
Therefore, the GCF of Fractions 8473/73,4323/652 is 1/47596
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 73,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,652) x common factors =1 x 1 = 1
LCM(73,652) = ( 73 × 652 ) / 1
LCM(73,652) = 47596 / 1
LCM(73,652) = 47596
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 8473/73, 4323/652?
Answer: GCF of Numerators as per given numbers 8473/73, 4323/652 is
GCF of Numerators i.e. for 8473,4323 is 1
LCM of denominators i.e. for 73,652 is 47596.
Thus, GCF of Fractions is 1/47596.Finally, GCF of Fractions for 8473/73, 4323/652 is 1/47596.