Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/33,33/41,852/429
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 39,33,852
Greatest Common Factor of Numerators i.e. GCF of 39,33,852 is 3 .
LCM of Denominators means LCM of 33,41,429 as per the given fractions.
LCM of 33,41,429 is 17589 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,33,852
3 | 39, 33, 852 |
13, 11, 284 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 39,33,852 . The biggest common factor number is the GCF number.
So the greatest common factor 39,33,852 is 3.
Lets's calculate LCM of 33,41,429
3 | 33, 41, 429 |
11 | 11, 41, 143 |
1, 41, 13 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 41 x 13 = 17589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17589
Therefore, the GCF of Fractions 39/33,33/41,852/429 is 3/17589
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 33,41,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,41,429) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(33,41,429) x common factors =1 x 33 = 33
LCM(33,41,429) = ( 33 × 41 × 429 ) / 33
LCM(33,41,429) = 580437 / 33
LCM(33,41,429) = 17589
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 39/33, 33/41, 852/429?
Answer: GCF of Numerators as per given numbers 39/33, 33/41, 852/429 is
GCF of Numerators i.e. for 39,33,852 is 3
LCM of denominators i.e. for 33,41,429 is 17589.
Thus, GCF of Fractions is 3/17589.Finally, GCF of Fractions for 39/33, 33/41, 852/429 is 3/17589.