Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8692/29,4665/473
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 8692,4665
Greatest Common Factor of Numerators i.e. GCF of 8692,4665 is 1 .
LCM of Denominators means LCM of 29,473 as per the given fractions.
LCM of 29,473 is 13717 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8692,4665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8692
List of positive integer factors of 8692 that divides 8692 without a remainder.
1,2,4,41,53,82,106,164,212,2173,4346,8692
Factors of 4665
List of positive integer factors of 4665 that divides 4665 without a remainder.
1,3,5,15,311,933,1555,4665
Greatest Common Factor
We found the factors 8692,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 8692,4665 is 1.
Lets's calculate LCM of 29,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 13717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13717
Therefore, the GCF of Fractions 8692/29,4665/473 is 1/13717
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 29,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,473) x common factors =1 x 1 = 1
LCM(29,473) = ( 29 × 473 ) / 1
LCM(29,473) = 13717 / 1
LCM(29,473) = 13717
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 8692/29, 4665/473?
Answer: GCF of Numerators as per given numbers 8692/29, 4665/473 is
GCF of Numerators i.e. for 8692,4665 is 1
LCM of denominators i.e. for 29,473 is 13717.
Thus, GCF of Fractions is 1/13717.Finally, GCF of Fractions for 8692/29, 4665/473 is 1/13717.