Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 436/72,408/13,240/686
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 436,408,240
Greatest Common Factor of Numerators i.e. GCF of 436,408,240 is 4 .
LCM of Denominators means LCM of 72,13,686 as per the given fractions.
LCM of 72,13,686 is 321048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 436,408,240
2 | 436, 408, 240 |
2 | 218, 204, 120 |
109, 102, 60 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 436,408,240 . The biggest common factor number is the GCF number.
So the greatest common factor 436,408,240 is 4.
Lets's calculate LCM of 72,13,686
2 | 72, 13, 686 |
36, 13, 343 |
∴ So the LCM of the given numbers is 2 x 36 x 13 x 343 = 321048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/321048
Therefore, the GCF of Fractions 436/72,408/13,240/686 is 4/321048
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 72,13,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,13,686) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(72,13,686) x common factors =1 x 2 = 2
LCM(72,13,686) = ( 72 × 13 × 686 ) / 2
LCM(72,13,686) = 642096 / 2
LCM(72,13,686) = 321048
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 436/72, 408/13, 240/686?
Answer: GCF of Numerators as per given numbers 436/72, 408/13, 240/686 is
GCF of Numerators i.e. for 436,408,240 is 4
LCM of denominators i.e. for 72,13,686 is 321048.
Thus, GCF of Fractions is 4/321048.Finally, GCF of Fractions for 436/72, 408/13, 240/686 is 4/321048.