Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4597/103,2162/4394
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 4597,2162
Greatest Common Factor of Numerators i.e. GCF of 4597,2162 is 1 .
LCM of Denominators means LCM of 103,4394 as per the given fractions.
LCM of 103,4394 is 452582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4597,2162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4597
List of positive integer factors of 4597 that divides 4597 without a remainder.
1,4597
Factors of 2162
List of positive integer factors of 2162 that divides 2162 without a remainder.
1,2,23,46,47,94,1081,2162
Greatest Common Factor
We found the factors 4597,2162 . The biggest common factor number is the GCF number.
So the greatest common factor 4597,2162 is 1.
Lets's calculate LCM of 103,4394
Given numbers has no common factors except 1. So, there LCM is their product i.e 452582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452582
Therefore, the GCF of Fractions 4597/103,2162/4394 is 1/452582
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 103,4394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,4394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,4394) x common factors =1 x 1 = 1
LCM(103,4394) = ( 103 × 4394 ) / 1
LCM(103,4394) = 452582 / 1
LCM(103,4394) = 452582
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 4597/103, 2162/4394?
Answer: GCF of Numerators as per given numbers 4597/103, 2162/4394 is
GCF of Numerators i.e. for 4597,2162 is 1
LCM of denominators i.e. for 103,4394 is 452582.
Thus, GCF of Fractions is 1/452582.Finally, GCF of Fractions for 4597/103, 2162/4394 is 1/452582.