Advertisements
Advertisements
Question
Using prime factorization, find the HCF and LCM of 36, 84 In case verify that HCF × LCM = product of given numbers.
Solution
Prime factorization:
36 = 22 × 3
84 = 22 × 3 × 7
HCF = product of smallest power of each common prime factor in the numbers = 22 × 3 = 12
LCM = product of greatest power of each prime factor involved in the numbers = 22 × 32 × 7 = 252
APPEARS IN
RELATED QUESTIONS
If the HCF of 657 and 963 is expressible in the form 657x + 963y − 15, find x.
144 cartons of Coke Cans and 90 cartons of Pepsi Cans are to be stacked in a Canteen. If each stack is of the same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?
Using prime factorization, find the HCF and LCM of 21, 28, 36, 45 .
Find the greatest number of four digits which is exactly divisible by 15, 24 and 36.
Find the greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm and 12m 95cm
Show that the following numbers are irrational.
In Q.No. 7, HCF (a, b) is
When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is ______.
There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students ______.
