Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 243/62,352/32,396/530
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 243,352,396
Greatest Common Factor of Numerators i.e. GCF of 243,352,396 is 1 .
LCM of Denominators means LCM of 62,32,530 as per the given fractions.
LCM of 62,32,530 is 262880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 243,352,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 243,352,396 . The biggest common factor number is the GCF number.
So the greatest common factor 243,352,396 is 1.
Lets's calculate LCM of 62,32,530
2 | 62, 32, 530 |
31, 16, 265 |
∴ So the LCM of the given numbers is 2 x 31 x 16 x 265 = 262880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262880
Therefore, the GCF of Fractions 243/62,352/32,396/530 is 1/262880
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 62,32,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,32,530) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,32,530) x common factors =2 x 2 = 4
LCM(62,32,530) = ( 62 × 32 × 530 ) / 4
LCM(62,32,530) = 1051520 / 4
LCM(62,32,530) = 262880
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 243/62, 352/32, 396/530?
Answer: GCF of Numerators as per given numbers 243/62, 352/32, 396/530 is
GCF of Numerators i.e. for 243,352,396 is 1
LCM of denominators i.e. for 62,32,530 is 262880.
Thus, GCF of Fractions is 1/262880.Finally, GCF of Fractions for 243/62, 352/32, 396/530 is 1/262880.