Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2833/692,4393/613
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 2833,4393
Greatest Common Factor of Numerators i.e. GCF of 2833,4393 is 1 .
LCM of Denominators means LCM of 692,613 as per the given fractions.
LCM of 692,613 is 424196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2833,4393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2833
List of positive integer factors of 2833 that divides 2833 without a remainder.
1,2833
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1,23,191,4393
Greatest Common Factor
We found the factors 2833,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 2833,4393 is 1.
Lets's calculate LCM of 692,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 424196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424196
Therefore, the GCF of Fractions 2833/692,4393/613 is 1/424196
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 692,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,613) x common factors =1 x 1 = 1
LCM(692,613) = ( 692 × 613 ) / 1
LCM(692,613) = 424196 / 1
LCM(692,613) = 424196
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 2833/692, 4393/613?
Answer: GCF of Numerators as per given numbers 2833/692, 4393/613 is
GCF of Numerators i.e. for 2833,4393 is 1
LCM of denominators i.e. for 692,613 is 424196.
Thus, GCF of Fractions is 1/424196.Finally, GCF of Fractions for 2833/692, 4393/613 is 1/424196.