Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/38,522/78,745/384
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 531,522,745
Greatest Common Factor of Numerators i.e. GCF of 531,522,745 is 1 .
LCM of Denominators means LCM of 38,78,384 as per the given fractions.
LCM of 38,78,384 is 94848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 531,522,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 531,522,745 . The biggest common factor number is the GCF number.
So the greatest common factor 531,522,745 is 1.
Lets's calculate LCM of 38,78,384
2 | 38, 78, 384 |
3 | 19, 39, 192 |
19, 13, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 13 x 64 = 94848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94848
Therefore, the GCF of Fractions 531/38,522/78,745/384 is 1/94848
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 38,78,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,78,384) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(38,78,384) x common factors =2 x 6 = 12
LCM(38,78,384) = ( 38 × 78 × 384 ) / 12
LCM(38,78,384) = 1138176 / 12
LCM(38,78,384) = 94848
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 531/38, 522/78, 745/384?
Answer: GCF of Numerators as per given numbers 531/38, 522/78, 745/384 is
GCF of Numerators i.e. for 531,522,745 is 1
LCM of denominators i.e. for 38,78,384 is 94848.
Thus, GCF of Fractions is 1/94848.Finally, GCF of Fractions for 531/38, 522/78, 745/384 is 1/94848.