Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/54,60/69,52/603,523/999
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 8,60,52,523
Greatest Common Factor of Numerators i.e. GCF of 8,60,52,523 is 1 .
LCM of Denominators means LCM of 54,69,603,999 as per the given fractions.
LCM of 54,69,603,999 is 3078918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,60,52,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 8,60,52,523 . The biggest common factor number is the GCF number.
So the greatest common factor 8,60,52,523 is 1.
Lets's calculate LCM of 54,69,603,999
3 | 54, 69, 603, 999 |
3 | 18, 23, 201, 333 |
3 | 6, 23, 67, 111 |
2, 23, 67, 37 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 23 x 67 x 37 = 3078918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3078918
Therefore, the GCF of Fractions 8/54,60/69,52/603,523/999 is 1/3078918
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 54,69,603,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,69,603,999) = 3
common factors(in case of two or more numbers have common factors) = 243
GCF(54,69,603,999) x common factors =3 x 243 = 729
LCM(54,69,603,999) = ( 54 × 69 × 603 × 999 ) / 729
LCM(54,69,603,999) = 2244531222 / 729
LCM(54,69,603,999) = 3078918
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 8/54, 60/69, 52/603, 523/999?
Answer: GCF of Numerators as per given numbers 8/54, 60/69, 52/603, 523/999 is
GCF of Numerators i.e. for 8,60,52,523 is 1
LCM of denominators i.e. for 54,69,603,999 is 3078918.
Thus, GCF of Fractions is 1/3078918.Finally, GCF of Fractions for 8/54, 60/69, 52/603, 523/999 is 1/3078918.