Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/19,808/81,355/75
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 474,808,355
Greatest Common Factor of Numerators i.e. GCF of 474,808,355 is 1 .
LCM of Denominators means LCM of 19,81,75 as per the given fractions.
LCM of 19,81,75 is 38475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 474,808,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 474,808,355 . The biggest common factor number is the GCF number.
So the greatest common factor 474,808,355 is 1.
Lets's calculate LCM of 19,81,75
3 | 19, 81, 75 |
19, 27, 25 |
∴ So the LCM of the given numbers is 3 x 19 x 27 x 25 = 38475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38475
Therefore, the GCF of Fractions 474/19,808/81,355/75 is 1/38475
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 19,81,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,81,75) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(19,81,75) x common factors =1 x 3 = 3
LCM(19,81,75) = ( 19 × 81 × 75 ) / 3
LCM(19,81,75) = 115425 / 3
LCM(19,81,75) = 38475
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 474/19, 808/81, 355/75?
Answer: GCF of Numerators as per given numbers 474/19, 808/81, 355/75 is
GCF of Numerators i.e. for 474,808,355 is 1
LCM of denominators i.e. for 19,81,75 is 38475.
Thus, GCF of Fractions is 1/38475.Finally, GCF of Fractions for 474/19, 808/81, 355/75 is 1/38475.