Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 106/59,923/36,569/629
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 106,923,569
Greatest Common Factor of Numerators i.e. GCF of 106,923,569 is 1 .
LCM of Denominators means LCM of 59,36,629 as per the given fractions.
LCM of 59,36,629 is 1335996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 106,923,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 106,923,569 . The biggest common factor number is the GCF number.
So the greatest common factor 106,923,569 is 1.
Lets's calculate LCM of 59,36,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1335996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1335996
Therefore, the GCF of Fractions 106/59,923/36,569/629 is 1/1335996
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 59,36,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,36,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,36,629) x common factors =1 x 1 = 1
LCM(59,36,629) = ( 59 × 36 × 629 ) / 1
LCM(59,36,629) = 1335996 / 1
LCM(59,36,629) = 1335996
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 106/59, 923/36, 569/629?
Answer: GCF of Numerators as per given numbers 106/59, 923/36, 569/629 is
GCF of Numerators i.e. for 106,923,569 is 1
LCM of denominators i.e. for 59,36,629 is 1335996.
Thus, GCF of Fractions is 1/1335996.Finally, GCF of Fractions for 106/59, 923/36, 569/629 is 1/1335996.