Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3363/82,8211/482
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 3363,8211
Greatest Common Factor of Numerators i.e. GCF of 3363,8211 is 3 .
LCM of Denominators means LCM of 82,482 as per the given fractions.
LCM of 82,482 is 19762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3363,8211
3 | 3363, 8211 |
1121, 2737 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 3363,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 3363,8211 is 3.
Lets's calculate LCM of 82,482
2 | 82, 482 |
41, 241 |
∴ So the LCM of the given numbers is 2 x 41 x 241 = 19762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19762
Therefore, the GCF of Fractions 3363/82,8211/482 is 3/19762
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 82,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,482) x common factors =2 x 1 = 2
LCM(82,482) = ( 82 × 482 ) / 2
LCM(82,482) = 39524 / 2
LCM(82,482) = 19762
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 3363/82, 8211/482?
Answer: GCF of Numerators as per given numbers 3363/82, 8211/482 is
GCF of Numerators i.e. for 3363,8211 is 3
LCM of denominators i.e. for 82,482 is 19762.
Thus, GCF of Fractions is 3/19762.Finally, GCF of Fractions for 3363/82, 8211/482 is 3/19762.