Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/69,820/18,808/907
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 903,820,808
Greatest Common Factor of Numerators i.e. GCF of 903,820,808 is 1 .
LCM of Denominators means LCM of 69,18,907 as per the given fractions.
LCM of 69,18,907 is 375498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,820,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
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 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 903,820,808 . The biggest common factor number is the GCF number.
So the greatest common factor 903,820,808 is 1.
Lets's calculate LCM of 69,18,907
3 | 69, 18, 907 |
23, 6, 907 |
∴ So the LCM of the given numbers is 3 x 23 x 6 x 907 = 375498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375498
Therefore, the GCF of Fractions 903/69,820/18,808/907 is 1/375498
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 69,18,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,18,907) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,18,907) x common factors =1 x 3 = 3
LCM(69,18,907) = ( 69 × 18 × 907 ) / 3
LCM(69,18,907) = 1126494 / 3
LCM(69,18,907) = 375498
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 903/69, 820/18, 808/907?
Answer: GCF of Numerators as per given numbers 903/69, 820/18, 808/907 is
GCF of Numerators i.e. for 903,820,808 is 1
LCM of denominators i.e. for 69,18,907 is 375498.
Thus, GCF of Fractions is 1/375498.Finally, GCF of Fractions for 903/69, 820/18, 808/907 is 1/375498.