Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/675,734/145
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 324,734
Greatest Common Factor of Numerators i.e. GCF of 324,734 is 2 .
LCM of Denominators means LCM of 675,145 as per the given fractions.
LCM of 675,145 is 19575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,734
2 | 324, 734 |
162, 367 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors 324,734 . The biggest common factor number is the GCF number.
So the greatest common factor 324,734 is 2.
Lets's calculate LCM of 675,145
5 | 675, 145 |
135, 29 |
∴ So the LCM of the given numbers is 5 x 135 x 29 = 19575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19575
Therefore, the GCF of Fractions 324/675,734/145 is 2/19575
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 675,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(675,145) x common factors =5 x 1 = 5
LCM(675,145) = ( 675 × 145 ) / 5
LCM(675,145) = 97875 / 5
LCM(675,145) = 19575
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 324/675, 734/145?
Answer: GCF of Numerators as per given numbers 324/675, 734/145 is
GCF of Numerators i.e. for 324,734 is 2
LCM of denominators i.e. for 675,145 is 19575.
Thus, GCF of Fractions is 2/19575.Finally, GCF of Fractions for 324/675, 734/145 is 2/19575.