Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/35,447/46,399/55
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 835,447,399
Greatest Common Factor of Numerators i.e. GCF of 835,447,399 is 1 .
LCM of Denominators means LCM of 35,46,55 as per the given fractions.
LCM of 35,46,55 is 17710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 835,447,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 835,447,399 . The biggest common factor number is the GCF number.
So the greatest common factor 835,447,399 is 1.
Lets's calculate LCM of 35,46,55
5 | 35, 46, 55 |
7, 46, 11 |
∴ So the LCM of the given numbers is 5 x 7 x 46 x 11 = 17710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17710
Therefore, the GCF of Fractions 835/35,447/46,399/55 is 1/17710
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 35,46,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,46,55) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,46,55) x common factors =1 x 5 = 5
LCM(35,46,55) = ( 35 × 46 × 55 ) / 5
LCM(35,46,55) = 88550 / 5
LCM(35,46,55) = 17710
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 835/35, 447/46, 399/55?
Answer: GCF of Numerators as per given numbers 835/35, 447/46, 399/55 is
GCF of Numerators i.e. for 835,447,399 is 1
LCM of denominators i.e. for 35,46,55 is 17710.
Thus, GCF of Fractions is 1/17710.Finally, GCF of Fractions for 835/35, 447/46, 399/55 is 1/17710.