Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8623/463,9233/607
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 8623,9233
Greatest Common Factor of Numerators i.e. GCF of 8623,9233 is 1 .
LCM of Denominators means LCM of 463,607 as per the given fractions.
LCM of 463,607 is 281041 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8623,9233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8623
List of positive integer factors of 8623 that divides 8623 without a remainder.
1,8623
Factors of 9233
List of positive integer factors of 9233 that divides 9233 without a remainder.
1,7,1319,9233
Greatest Common Factor
We found the factors 8623,9233 . The biggest common factor number is the GCF number.
So the greatest common factor 8623,9233 is 1.
Lets's calculate LCM of 463,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 281041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281041
Therefore, the GCF of Fractions 8623/463,9233/607 is 1/281041
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 463,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,607) x common factors =1 x 1 = 1
LCM(463,607) = ( 463 × 607 ) / 1
LCM(463,607) = 281041 / 1
LCM(463,607) = 281041
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 8623/463, 9233/607?
Answer: GCF of Numerators as per given numbers 8623/463, 9233/607 is
GCF of Numerators i.e. for 8623,9233 is 1
LCM of denominators i.e. for 463,607 is 281041.
Thus, GCF of Fractions is 1/281041.Finally, GCF of Fractions for 8623/463, 9233/607 is 1/281041.