Advertisements
Advertisements
Question
The HCF of the smallest 2-digit number and the smallest composite number is ______.
Options
4
20
2
10
40
Advertisements
Solution
The HCF of the smallest 2-digit number and the smallest composite number is 2.
Explanation:
Smallest 2-digit no. = 10
Smallest composite no. = 4
Now, Prime factorization of 4 = 2 × 2
Prime factorization of 10 = 2 × 5
H.C.F (10, 4) = 2
APPEARS IN
RELATED QUESTIONS
Express the number as a product of its prime factor:
140
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
What is the HCF of the smallest prime number and the smallest composite number?
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF (a, b) = pmqn and LCM (a, b) = prqs, then (m + n)(r + s) = ______.
If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is ______.
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
