Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/577,204/521,900/571
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 72,204,900
Greatest Common Factor of Numerators i.e. GCF of 72,204,900 is 12 .
LCM of Denominators means LCM of 577,521,571 as per the given fractions.
LCM of 577,521,571 is 171652307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,204,900
2 | 72, 204, 900 |
2 | 36, 102, 450 |
3 | 18, 51, 225 |
6, 17, 75 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 72,204,900 . The biggest common factor number is the GCF number.
So the greatest common factor 72,204,900 is 12.
Lets's calculate LCM of 577,521,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 171652307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/171652307
Therefore, the GCF of Fractions 72/577,204/521,900/571 is 12/171652307
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 577,521,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,521,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,521,571) x common factors =1 x 1 = 1
LCM(577,521,571) = ( 577 × 521 × 571 ) / 1
LCM(577,521,571) = 171652307 / 1
LCM(577,521,571) = 171652307
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 72/577, 204/521, 900/571?
Answer: GCF of Numerators as per given numbers 72/577, 204/521, 900/571 is
GCF of Numerators i.e. for 72,204,900 is 12
LCM of denominators i.e. for 577,521,571 is 171652307.
Thus, GCF of Fractions is 12/171652307.Finally, GCF of Fractions for 72/577, 204/521, 900/571 is 12/171652307.