Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 320/33,490/33,820/13
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 320,490,820
Greatest Common Factor of Numerators i.e. GCF of 320,490,820 is 10 .
LCM of Denominators means LCM of 33,33,13 as per the given fractions.
LCM of 33,33,13 is 429 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 320,490,820
2 | 320, 490, 820 |
5 | 160, 245, 410 |
32, 49, 82 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 320,490,820 . The biggest common factor number is the GCF number.
So the greatest common factor 320,490,820 is 10.
Lets's calculate LCM of 33,33,13
3 | 33, 33, 13 |
11 | 11, 11, 13 |
1, 1, 13 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 1 x 13 = 429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/429
Therefore, the GCF of Fractions 320/33,490/33,820/13 is 10/429
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 33,33,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,33,13) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(33,33,13) x common factors =1 x 33 = 33
LCM(33,33,13) = ( 33 × 33 × 13 ) / 33
LCM(33,33,13) = 14157 / 33
LCM(33,33,13) = 429
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 320/33, 490/33, 820/13?
Answer: GCF of Numerators as per given numbers 320/33, 490/33, 820/13 is
GCF of Numerators i.e. for 320,490,820 is 10
LCM of denominators i.e. for 33,33,13 is 429.
Thus, GCF of Fractions is 10/429.Finally, GCF of Fractions for 320/33, 490/33, 820/13 is 10/429.