Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/33,834/54,311/524
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 423,834,311
Greatest Common Factor of Numerators i.e. GCF of 423,834,311 is 1 .
LCM of Denominators means LCM of 33,54,524 as per the given fractions.
LCM of 33,54,524 is 155628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 423,834,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Greatest Common Factor
We found the factors 423,834,311 . The biggest common factor number is the GCF number.
So the greatest common factor 423,834,311 is 1.
Lets's calculate LCM of 33,54,524
2 | 33, 54, 524 |
3 | 33, 27, 262 |
11, 9, 262 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 262 = 155628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155628
Therefore, the GCF of Fractions 423/33,834/54,311/524 is 1/155628
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 33,54,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,54,524) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(33,54,524) x common factors =1 x 6 = 6
LCM(33,54,524) = ( 33 × 54 × 524 ) / 6
LCM(33,54,524) = 933768 / 6
LCM(33,54,524) = 155628
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 423/33, 834/54, 311/524?
Answer: GCF of Numerators as per given numbers 423/33, 834/54, 311/524 is
GCF of Numerators i.e. for 423,834,311 is 1
LCM of denominators i.e. for 33,54,524 is 155628.
Thus, GCF of Fractions is 1/155628.Finally, GCF of Fractions for 423/33, 834/54, 311/524 is 1/155628.