Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/169,852/646,831/156
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 495,852,831
Greatest Common Factor of Numerators i.e. GCF of 495,852,831 is 3 .
LCM of Denominators means LCM of 169,646,156 as per the given fractions.
LCM of 169,646,156 is 655044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 495,852,831
3 | 495, 852, 831 |
165, 284, 277 |
∴ 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 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
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 495,852,831 . The biggest common factor number is the GCF number.
So the greatest common factor 495,852,831 is 3.
Lets's calculate LCM of 169,646,156
2 | 169, 646, 156 |
13 | 169, 323, 78 |
13, 323, 6 |
∴ So the LCM of the given numbers is 2 x 13 x 13 x 323 x 6 = 655044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/655044
Therefore, the GCF of Fractions 495/169,852/646,831/156 is 3/655044
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 169,646,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,646,156) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(169,646,156) x common factors =1 x 26 = 26
LCM(169,646,156) = ( 169 × 646 × 156 ) / 26
LCM(169,646,156) = 17031144 / 26
LCM(169,646,156) = 655044
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 495/169, 852/646, 831/156?
Answer: GCF of Numerators as per given numbers 495/169, 852/646, 831/156 is
GCF of Numerators i.e. for 495,852,831 is 3
LCM of denominators i.e. for 169,646,156 is 655044.
Thus, GCF of Fractions is 3/655044.Finally, GCF of Fractions for 495/169, 852/646, 831/156 is 3/655044.