Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/873,3000/551
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 204,3000
Greatest Common Factor of Numerators i.e. GCF of 204,3000 is 12 .
LCM of Denominators means LCM of 873,551 as per the given fractions.
LCM of 873,551 is 481023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 204,3000
2 | 204, 3000 |
2 | 102, 1500 |
3 | 51, 750 |
17, 250 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 3000
List of positive integer factors of 3000 that divides 3000 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 204,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 204,3000 is 12.
Lets's calculate LCM of 873,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 481023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/481023
Therefore, the GCF of Fractions 204/873,3000/551 is 12/481023
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 873,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,551) x common factors =1 x 1 = 1
LCM(873,551) = ( 873 × 551 ) / 1
LCM(873,551) = 481023 / 1
LCM(873,551) = 481023
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 204/873, 3000/551?
Answer: GCF of Numerators as per given numbers 204/873, 3000/551 is
GCF of Numerators i.e. for 204,3000 is 12
LCM of denominators i.e. for 873,551 is 481023.
Thus, GCF of Fractions is 12/481023.Finally, GCF of Fractions for 204/873, 3000/551 is 12/481023.