Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/11,99/35,796/355
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 38,99,796
Greatest Common Factor of Numerators i.e. GCF of 38,99,796 is 1 .
LCM of Denominators means LCM of 11,35,355 as per the given fractions.
LCM of 11,35,355 is 27335 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,99,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 38,99,796 . The biggest common factor number is the GCF number.
So the greatest common factor 38,99,796 is 1.
Lets's calculate LCM of 11,35,355
5 | 11, 35, 355 |
11, 7, 71 |
∴ So the LCM of the given numbers is 5 x 11 x 7 x 71 = 27335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27335
Therefore, the GCF of Fractions 38/11,99/35,796/355 is 1/27335
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 11,35,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,35,355) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(11,35,355) x common factors =1 x 5 = 5
LCM(11,35,355) = ( 11 × 35 × 355 ) / 5
LCM(11,35,355) = 136675 / 5
LCM(11,35,355) = 27335
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 38/11, 99/35, 796/355?
Answer: GCF of Numerators as per given numbers 38/11, 99/35, 796/355 is
GCF of Numerators i.e. for 38,99,796 is 1
LCM of denominators i.e. for 11,35,355 is 27335.
Thus, GCF of Fractions is 1/27335.Finally, GCF of Fractions for 38/11, 99/35, 796/355 is 1/27335.