Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4806/686,2997/993
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 4806,2997
Greatest Common Factor of Numerators i.e. GCF of 4806,2997 is 27 .
LCM of Denominators means LCM of 686,993 as per the given fractions.
LCM of 686,993 is 681198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4806,2997
3 | 4806, 2997 |
3 | 1602, 999 |
3 | 534, 333 |
178, 111 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 4806
List of positive integer factors of 4806 that divides 4806 without a remainder.
1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 4806,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 4806,2997 is 27.
Lets's calculate LCM of 686,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 681198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/681198
Therefore, the GCF of Fractions 4806/686,2997/993 is 27/681198
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 686,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,993) x common factors =1 x 1 = 1
LCM(686,993) = ( 686 × 993 ) / 1
LCM(686,993) = 681198 / 1
LCM(686,993) = 681198
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 4806/686, 2997/993?
Answer: GCF of Numerators as per given numbers 4806/686, 2997/993 is
GCF of Numerators i.e. for 4806,2997 is 27
LCM of denominators i.e. for 686,993 is 681198.
Thus, GCF of Fractions is 27/681198.Finally, GCF of Fractions for 4806/686, 2997/993 is 27/681198.