Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/155,583/531
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 33,583
Greatest Common Factor of Numerators i.e. GCF of 33,583 is 11 .
LCM of Denominators means LCM of 155,531 as per the given fractions.
LCM of 155,531 is 82305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,583
11 | 33, 583 |
3, 53 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 33,583 . The biggest common factor number is the GCF number.
So the greatest common factor 33,583 is 11.
Lets's calculate LCM of 155,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 82305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/82305
Therefore, the GCF of Fractions 33/155,583/531 is 11/82305
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 155,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,531) x common factors =1 x 1 = 1
LCM(155,531) = ( 155 × 531 ) / 1
LCM(155,531) = 82305 / 1
LCM(155,531) = 82305
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 33/155, 583/531?
Answer: GCF of Numerators as per given numbers 33/155, 583/531 is
GCF of Numerators i.e. for 33,583 is 11
LCM of denominators i.e. for 155,531 is 82305.
Thus, GCF of Fractions is 11/82305.Finally, GCF of Fractions for 33/155, 583/531 is 11/82305.