Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/898,559/352,629/372
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 923,559,629
Greatest Common Factor of Numerators i.e. GCF of 923,559,629 is 1 .
LCM of Denominators means LCM of 898,352,372 as per the given fractions.
LCM of 898,352,372 is 14698464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 923,559,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 923,559,629 . The biggest common factor number is the GCF number.
So the greatest common factor 923,559,629 is 1.
Lets's calculate LCM of 898,352,372
2 | 898, 352, 372 |
2 | 449, 176, 186 |
449, 88, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 449 x 88 x 93 = 14698464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14698464
Therefore, the GCF of Fractions 923/898,559/352,629/372 is 1/14698464
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 898,352,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,352,372) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(898,352,372) x common factors =2 x 4 = 8
LCM(898,352,372) = ( 898 × 352 × 372 ) / 8
LCM(898,352,372) = 117587712 / 8
LCM(898,352,372) = 14698464
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 923/898, 559/352, 629/372?
Answer: GCF of Numerators as per given numbers 923/898, 559/352, 629/372 is
GCF of Numerators i.e. for 923,559,629 is 1
LCM of denominators i.e. for 898,352,372 is 14698464.
Thus, GCF of Fractions is 1/14698464.Finally, GCF of Fractions for 923/898, 559/352, 629/372 is 1/14698464.