Question

How many different HCF is /are possible for numbers N and N+10 (N is a natural number)
a) 1
b)2
c)3
d)4

Answer 1

Answer:

option a ) 1 is right answer

Step-by-step explanation:

How many different HCF is /are possible for numbers N and N+10 (N is a natural number)

a) 1

b)2

c)3

d)4

HCF = Highest common Factor

HCF for any two numbers is only 1

only one HCF is  possible for numbers N and N+10

option a ) 1 is right answer

Let Say N = ak   where a is prime number

N+ 10 = bk  where b is a prime number

Then k is the HCF of N & N+10

for example

N = 4  , N+10 =14

N = 4 = 2 * 2

N+ 10 = 2 * 7

HCF = 2

Another example

N = 20 = 2 * 10

N+ 10 = 30 = 3 * 10

HCF = 10