If x=2cubex3x5square, y=2cubex3cube, then find hcf x, y
Answers
Step-by-step explanation:
Given:
x = (2^3)(3)(5^2) and y = (2^3)(3^3)
These numbers are already in prime factorization form.
And we know that H.C.F means the greatest number which can divide the given numbers.
As per the formula, H.C.F of 2 numbers is the product of the common factors(we have to take the factor with the least power) in the prime factorization of the 2 numbers.
Like in this case 2 and 3 are the common factors and the least power of 2 is 3 and the least power of 3 is 1 . And 5 is not a common factor.
Therefore H.C.F = (2^3)(3) = 24
It looks like your 10th has just started because as far as I remember this H.C.F and L.C.M is in the 1st chapter. Good luck for your 10th.
By the way I had given my 10th class board exams this year.