Use our free GCF of Fractions Calculator tool to compute the GCF of 950/186, 182/369 i.e 2/22878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/186, 182/369.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/186,182/369
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 950/186,182/369, numerators are 950,182
Denominators are 186,369
The GCF of 950,182 is 2 .
LCM of 186,369 is 22878.
The greatest common factor of 950/186,182/369 = [GCF of 950,182]/[LCM of 186,369]= 2/22878
Therefore, the GCF of 950/186,182/369 is 2/22878.
To find the highest common factor of 950,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 950,182 is 2.
Lets's calculate GCF of 950,182
2 | 950, 182 |
475, 91 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 950,182 . The biggest common factor number is the GCF number.
So the greatest common factor 950,182 is 2.
Lets's calculate LCM of 186,369
3 | 186, 369 |
62, 123 |
∴ So the LCM of the given numbers is 3 x 62 x 123 = 22878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22878
Therefore, the GCF of Fractions 950/186,182/369 is 2/22878
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 186,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(186,369) x common factors =3 x 1 = 3
LCM(186,369) = ( 186 × 369 ) / 3
LCM(186,369) = 68634 / 3
LCM(186,369) = 22878
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 950,182?
The HCF of 950,182 is 2
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 950/186, 182/369?
Answer: GCF of Numerators as per given numbers 950/186, 182/369 is
GCF of Numerators i.e. for 950,182 is 2
LCM of denominators i.e. for 186,369 is 22878.
Thus, GCF of Fractions is 2/22878.Finally, GCF of Fractions for 950/186, 182/369 is 2/22878.