Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/34,666/72,377/764
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 324,666,377
Greatest Common Factor of Numerators i.e. GCF of 324,666,377 is 1 .
LCM of Denominators means LCM of 34,72,764 as per the given fractions.
LCM of 34,72,764 is 233784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,666,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
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
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 324,666,377 . The biggest common factor number is the GCF number.
So the greatest common factor 324,666,377 is 1.
Lets's calculate LCM of 34,72,764
2 | 34, 72, 764 |
2 | 17, 36, 382 |
17, 18, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 18 x 191 = 233784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233784
Therefore, the GCF of Fractions 324/34,666/72,377/764 is 1/233784
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 34,72,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,72,764) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(34,72,764) x common factors =2 x 4 = 8
LCM(34,72,764) = ( 34 × 72 × 764 ) / 8
LCM(34,72,764) = 1870272 / 8
LCM(34,72,764) = 233784
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 324/34, 666/72, 377/764?
Answer: GCF of Numerators as per given numbers 324/34, 666/72, 377/764 is
GCF of Numerators i.e. for 324,666,377 is 1
LCM of denominators i.e. for 34,72,764 is 233784.
Thus, GCF of Fractions is 1/233784.Finally, GCF of Fractions for 324/34, 666/72, 377/764 is 1/233784.