If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is
(a) xy²
(b) x4y²z
(c) x4y3
(d) x4y3z
Answers
Answer:
(a)xy^2
Step-by-step explanation:
It is so because the common prime factors of A and B are x and y with the highest common power of x as 1 and y as 2.
Given : two positive integers A and B can be expressed as
A = xy³
B = x⁴y²z
x , y and z being prime numbers
To Find : HCF (A,B)
Solution:
x , y and z being prime numbers
Hence no common prime factors between x , y and z
HCF Highest common factor is highest power polynomial and largest power numeric coefficient expression which can divide all the expressions.
HCF = product of common factors of least power
A = xy³
B = x⁴y²z
Least power of x= 1
Least power of y = 2
Least power of z = 0 as A does not have z as factor
Hence HCF (A , B ) = xy²
HCF (A , B ) = xy²
Learn More:
What's the LCM of 16a²x²y³ and 12a²x³y²?a) 48a²x³y³b) 16a²x³y³c ...
https://brainly.in/question/43028584
Find LCM and HCF of the following pairs of integers and verify that ...
brainly.in/question/17387230
Can 12 and 98 be HCF and LCM of two numbers - Brainly.in
brainly.in/question/17564109