Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/622,176/954,531/579
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 83,176,531
Greatest Common Factor of Numerators i.e. GCF of 83,176,531 is 1 .
LCM of Denominators means LCM of 622,954,579 as per the given fractions.
LCM of 622,954,579 is 57261942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,176,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 83,176,531 . The biggest common factor number is the GCF number.
So the greatest common factor 83,176,531 is 1.
Lets's calculate LCM of 622,954,579
2 | 622, 954, 579 |
3 | 311, 477, 579 |
311, 159, 193 |
∴ So the LCM of the given numbers is 2 x 3 x 311 x 159 x 193 = 57261942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57261942
Therefore, the GCF of Fractions 83/622,176/954,531/579 is 1/57261942
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 622,954,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,954,579) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(622,954,579) x common factors =1 x 6 = 6
LCM(622,954,579) = ( 622 × 954 × 579 ) / 6
LCM(622,954,579) = 343571652 / 6
LCM(622,954,579) = 57261942
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 83/622, 176/954, 531/579?
Answer: GCF of Numerators as per given numbers 83/622, 176/954, 531/579 is
GCF of Numerators i.e. for 83,176,531 is 1
LCM of denominators i.e. for 622,954,579 is 57261942.
Thus, GCF of Fractions is 1/57261942.Finally, GCF of Fractions for 83/622, 176/954, 531/579 is 1/57261942.