Use our free GCF of Fractions Calculator tool to compute the GCF of 356/273, 820/369 i.e 4/33579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/273, 820/369.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 356/273,820/369
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 356/273,820/369, numerators are 356,820
Denominators are 273,369
The GCF of 356,820 is 4 .
LCM of 273,369 is 33579.
The greatest common factor of 356/273,820/369 = [GCF of 356,820]/[LCM of 273,369]= 4/33579
Therefore, the GCF of 356/273,820/369 is 4/33579.
To find the highest common factor of 356,820, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 356,820 is 4.
Lets's calculate GCF of 356,820
2 | 356, 820 |
2 | 178, 410 |
89, 205 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 356,820 . The biggest common factor number is the GCF number.
So the greatest common factor 356,820 is 4.
Lets's calculate LCM of 273,369
3 | 273, 369 |
91, 123 |
∴ So the LCM of the given numbers is 3 x 91 x 123 = 33579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33579
Therefore, the GCF of Fractions 356/273,820/369 is 4/33579
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 273,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,369) x common factors =3 x 1 = 3
LCM(273,369) = ( 273 × 369 ) / 3
LCM(273,369) = 100737 / 3
LCM(273,369) = 33579
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 356,820?
The HCF of 356,820 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 356/273, 820/369?
Answer: GCF of Numerators as per given numbers 356/273, 820/369 is
GCF of Numerators i.e. for 356,820 is 4
LCM of denominators i.e. for 273,369 is 33579.
Thus, GCF of Fractions is 4/33579.Finally, GCF of Fractions for 356/273, 820/369 is 4/33579.