Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 535/53,789/82,666/60
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 535,789,666
Greatest Common Factor of Numerators i.e. GCF of 535,789,666 is 1 .
LCM of Denominators means LCM of 53,82,60 as per the given fractions.
LCM of 53,82,60 is 130380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 535,789,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 535,789,666 . The biggest common factor number is the GCF number.
So the greatest common factor 535,789,666 is 1.
Lets's calculate LCM of 53,82,60
2 | 53, 82, 60 |
53, 41, 30 |
∴ So the LCM of the given numbers is 2 x 53 x 41 x 30 = 130380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130380
Therefore, the GCF of Fractions 535/53,789/82,666/60 is 1/130380
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 53,82,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,82,60) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,82,60) x common factors =1 x 2 = 2
LCM(53,82,60) = ( 53 × 82 × 60 ) / 2
LCM(53,82,60) = 260760 / 2
LCM(53,82,60) = 130380
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 535/53, 789/82, 666/60?
Answer: GCF of Numerators as per given numbers 535/53, 789/82, 666/60 is
GCF of Numerators i.e. for 535,789,666 is 1
LCM of denominators i.e. for 53,82,60 is 130380.
Thus, GCF of Fractions is 1/130380.Finally, GCF of Fractions for 535/53, 789/82, 666/60 is 1/130380.