Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/462,3693/865
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 999,3693
Greatest Common Factor of Numerators i.e. GCF of 999,3693 is 3 .
LCM of Denominators means LCM of 462,865 as per the given fractions.
LCM of 462,865 is 399630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 999,3693
3 | 999, 3693 |
333, 1231 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 3693
List of positive integer factors of 3693 that divides 3693 without a remainder.
1,3,1231,3693
Greatest Common Factor
We found the factors 999,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 999,3693 is 3.
Lets's calculate LCM of 462,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 399630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/399630
Therefore, the GCF of Fractions 999/462,3693/865 is 3/399630
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 462,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,865) x common factors =1 x 1 = 1
LCM(462,865) = ( 462 × 865 ) / 1
LCM(462,865) = 399630 / 1
LCM(462,865) = 399630
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 999/462, 3693/865?
Answer: GCF of Numerators as per given numbers 999/462, 3693/865 is
GCF of Numerators i.e. for 999,3693 is 3
LCM of denominators i.e. for 462,865 is 399630.
Thus, GCF of Fractions is 3/399630.Finally, GCF of Fractions for 999/462, 3693/865 is 3/399630.