Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/239,436/894,531/867
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 450,436,531
Greatest Common Factor of Numerators i.e. GCF of 450,436,531 is 1 .
LCM of Denominators means LCM of 239,894,867 as per the given fractions.
LCM of 239,894,867 is 61749474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 450,436,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 450,436,531 . The biggest common factor number is the GCF number.
So the greatest common factor 450,436,531 is 1.
Lets's calculate LCM of 239,894,867
3 | 239, 894, 867 |
239, 298, 289 |
∴ So the LCM of the given numbers is 3 x 239 x 298 x 289 = 61749474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61749474
Therefore, the GCF of Fractions 450/239,436/894,531/867 is 1/61749474
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 239,894,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,894,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(239,894,867) x common factors =1 x 3 = 3
LCM(239,894,867) = ( 239 × 894 × 867 ) / 3
LCM(239,894,867) = 185248422 / 3
LCM(239,894,867) = 61749474
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 450/239, 436/894, 531/867?
Answer: GCF of Numerators as per given numbers 450/239, 436/894, 531/867 is
GCF of Numerators i.e. for 450,436,531 is 1
LCM of denominators i.e. for 239,894,867 is 61749474.
Thus, GCF of Fractions is 1/61749474.Finally, GCF of Fractions for 450/239, 436/894, 531/867 is 1/61749474.