Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 820/387,5406/720
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 820,5406
Greatest Common Factor of Numerators i.e. GCF of 820,5406 is 2 .
LCM of Denominators means LCM of 387,720 as per the given fractions.
LCM of 387,720 is 30960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 820,5406
2 | 820, 5406 |
410, 2703 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 5406
List of positive integer factors of 5406 that divides 5406 without a remainder.
1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406
Greatest Common Factor
We found the factors 820,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 820,5406 is 2.
Lets's calculate LCM of 387,720
3 | 387, 720 |
3 | 129, 240 |
43, 80 |
∴ So the LCM of the given numbers is 3 x 3 x 43 x 80 = 30960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30960
Therefore, the GCF of Fractions 820/387,5406/720 is 2/30960
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 387,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,720) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(387,720) x common factors =9 x 1 = 9
LCM(387,720) = ( 387 × 720 ) / 9
LCM(387,720) = 278640 / 9
LCM(387,720) = 30960
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 820/387, 5406/720?
Answer: GCF of Numerators as per given numbers 820/387, 5406/720 is
GCF of Numerators i.e. for 820,5406 is 2
LCM of denominators i.e. for 387,720 is 30960.
Thus, GCF of Fractions is 2/30960.Finally, GCF of Fractions for 820/387, 5406/720 is 2/30960.