Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4815/89,1724/467
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 4815,1724
Greatest Common Factor of Numerators i.e. GCF of 4815,1724 is 1 .
LCM of Denominators means LCM of 89,467 as per the given fractions.
LCM of 89,467 is 41563 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4815,1724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4815
List of positive integer factors of 4815 that divides 4815 without a remainder.
1,3,5,9,15,45,107,321,535,963,1605,4815
Factors of 1724
List of positive integer factors of 1724 that divides 1724 without a remainder.
1,2,4,431,862,1724
Greatest Common Factor
We found the factors 4815,1724 . The biggest common factor number is the GCF number.
So the greatest common factor 4815,1724 is 1.
Lets's calculate LCM of 89,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 41563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41563
Therefore, the GCF of Fractions 4815/89,1724/467 is 1/41563
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 89,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,467) x common factors =1 x 1 = 1
LCM(89,467) = ( 89 × 467 ) / 1
LCM(89,467) = 41563 / 1
LCM(89,467) = 41563
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 4815/89, 1724/467?
Answer: GCF of Numerators as per given numbers 4815/89, 1724/467 is
GCF of Numerators i.e. for 4815,1724 is 1
LCM of denominators i.e. for 89,467 is 41563.
Thus, GCF of Fractions is 1/41563.Finally, GCF of Fractions for 4815/89, 1724/467 is 1/41563.