HCF of xa+9, xa+7, xa+5 is __________.
xa+5
The HCF of powers of the same base is that base raised to the smallest exponent.
Exponents: a + 9, a + 7, a + 5
Smallest exponent = a + 5
HCF = xa+5
Check: xa+9 = xa+5 × x4 and xa+7 = xa+5 × x2, so xa+5 divides all three and no higher power does.
Hence, xa+5.
Similar Questions
If LCM of a and b is 100 and a + b = 45. Find the difference between a and b.
Important Questions from LCM and HCF
The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
Which of the following is a pair of co-primes?
