Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2666/743,3399/4921
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 2666,3399
Greatest Common Factor of Numerators i.e. GCF of 2666,3399 is 1 .
LCM of Denominators means LCM of 743,4921 as per the given fractions.
LCM of 743,4921 is 3656303 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2666,3399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2666
List of positive integer factors of 2666 that divides 2666 without a remainder.
1,2,31,43,62,86,1333,2666
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1,3,11,33,103,309,1133,3399
Greatest Common Factor
We found the factors 2666,3399 . The biggest common factor number is the GCF number.
So the greatest common factor 2666,3399 is 1.
Lets's calculate LCM of 743,4921
Given numbers has no common factors except 1. So, there LCM is their product i.e 3656303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3656303
Therefore, the GCF of Fractions 2666/743,3399/4921 is 1/3656303
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 743,4921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,4921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,4921) x common factors =1 x 1 = 1
LCM(743,4921) = ( 743 × 4921 ) / 1
LCM(743,4921) = 3656303 / 1
LCM(743,4921) = 3656303
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 2666/743, 3399/4921?
Answer: GCF of Numerators as per given numbers 2666/743, 3399/4921 is
GCF of Numerators i.e. for 2666,3399 is 1
LCM of denominators i.e. for 743,4921 is 3656303.
Thus, GCF of Fractions is 1/3656303.Finally, GCF of Fractions for 2666/743, 3399/4921 is 1/3656303.