hcf(10, 21) = 1 ⇒ 10 & 21 relatively prime
hcf(12, 54) = 6 ⇒ 12 & 54 not relatively prime
hcf(15, 27) = 3 ⇒ 15 & 27 not relatively prime
hcf(21, 38) = 1 ⇒ 21 & 38 relatively prime
For relatively prime numbers to exist, there need to be two or more numbers to compare.
Two [or more] numbers are said to be relatively prime or coprime if they have no factor in common [other than 1]. They need not be prime numbers.Equivalently, a set of numbers is relatively prime if and only if their GCF is 1.Thus, 2*7 = 14 and 3*5 = 15Neither 14 nor 15 is a prime but they are relatively prime since they do not have a factor in common.
To choose a number that is relatively prime to any other number, you need to select a number that has no common factors (other than 1) with those other numbers. One way to ensure this is to choose a prime number. Prime numbers only have two factors: 1 and itself, making them relatively prime to any other number.
Composite numbers are numbers greater than 1 that have more than two factors. Relatively prime numbers are numbers that have no common factors other than 1. Therefore, to find 3-digit composite numbers that are relatively prime, we need to look for numbers that are composite and have no common factors. An example of such a pair of 3-digit composite numbers that are relatively prime would be 119 and 143.
No. The concept of prime is defined only for natural numbers greater than 1.
For relatively prime numbers to exist, there need to be two or more numbers to compare.
No, they need not be.
The question is incomplete. A single number cannot be relatively prime. Two numbers are relatively prime *to each other* if their only common factor is 1, such as the numbers 21 and 11. A similar question would be "How far is it to London?" You need to know the other piece of information such as "From where?" Now, 62 is going to be relatively prime to many numbers, since it only has factors of 2 and 31, so all odd numbers that are not multiples of 31 are going to be relatively prime to 62.
No. A number by itself cannot be relatively prime. You need at least two numbers to say whether they are relatively prime or not, which is when their only common factor is 1.
Two [or more] numbers are said to be relatively prime or coprime if they have no factor in common [other than 1]. They need not be prime numbers.Equivalently, a set of numbers is relatively prime if and only if their GCF is 1.Thus, 2*7 = 14 and 3*5 = 15Neither 14 nor 15 is a prime but they are relatively prime since they do not have a factor in common.
In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also spelled co-prime) if the only positive integer that evenly divides both of them is 1. That is, the only common positive factor of the two numbers is 1.
To choose a number that is relatively prime to any other number, you need to select a number that has no common factors (other than 1) with those other numbers. One way to ensure this is to choose a prime number. Prime numbers only have two factors: 1 and itself, making them relatively prime to any other number.
Composite numbers are numbers greater than 1 that have more than two factors. Relatively prime numbers are numbers that have no common factors other than 1. Therefore, to find 3-digit composite numbers that are relatively prime, we need to look for numbers that are composite and have no common factors. An example of such a pair of 3-digit composite numbers that are relatively prime would be 119 and 143.
No. The concept of prime is defined only for natural numbers greater than 1.
If you don't include 20 and 30, all of them.
You need to check whether they have a common factor. You can simply factor each of the numbers; for numbers that are much larger, using Euclid's algorithm is much faster.If the common factor of two numbers is greater than 1, then they are NOT relatively prime.
You need several pairs of numbers in the question. Instead, there is only one number.