Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/765,399/274
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 495,399
Greatest Common Factor of Numerators i.e. GCF of 495,399 is 3 .
LCM of Denominators means LCM of 765,274 as per the given fractions.
LCM of 765,274 is 209610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 495,399
3 | 495, 399 |
165, 133 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
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 495,399 . The biggest common factor number is the GCF number.
So the greatest common factor 495,399 is 3.
Lets's calculate LCM of 765,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 209610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209610
Therefore, the GCF of Fractions 495/765,399/274 is 3/209610
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 765,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,274) x common factors =1 x 1 = 1
LCM(765,274) = ( 765 × 274 ) / 1
LCM(765,274) = 209610 / 1
LCM(765,274) = 209610
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 495/765, 399/274?
Answer: GCF of Numerators as per given numbers 495/765, 399/274 is
GCF of Numerators i.e. for 495,399 is 3
LCM of denominators i.e. for 765,274 is 209610.
Thus, GCF of Fractions is 3/209610.Finally, GCF of Fractions for 495/765, 399/274 is 3/209610.