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By definition, two numbers say a and b are relatively prime if and only if the gcd (a,b) = 1.

The two pairs are (5, 16) and (16, 25).

Q: Find two pairs of relatively prime numbers from 5 10 16 and 25?

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It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25

7 and 17 are both primes numbers. The means that to find the LCM we need multiply them. The LCM of 7 and 17 is 7x17 which is 119. If two numbers are prime, then they are also relatively prime and in general the way to find the LCM of relatively prime number is to multiply them together.

The long but fool-proof way is to find the complete prime factorisation of the number. Then group all the factors into pairs, rejecting any that cannot be paired. The product of the numbers that are left is the largest square factor.

The LCM or least common multiple is 253. In this case, the greatest common factor of the two numbers is 1. That is to say, they have no other common factors. We call these numbers relatively prime. When two numbers are relatively prime their LCM is always the product of the two numbers.Sometimes it is easier to find the greatest common factor than to find the least common multiple by looking at multiples of both numbers. This is true if the numbers are primes like 11 and 23. So if you are give two primes, the LCM will always be the product of the two numbers.

If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.

Related questions

Two numbers are relatively prime if their GCF is 1.

The GCF of two prime numbers is 1. 4, 9 and 25 are relatively prime.

It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25

False. Consider 4 and 9. Neither are prime, but they have no common factors other than 1 and are therefore relatively prime. More generally, any two numbers p^n and q^n where p, q both prime and n<>p or q and n>1 are relatively prime. This is by no means all pairs of relatively prime numbers, but it's an easy way to find examples where neither of the pair is prime.

Find their GCF.

An easy way to find a number relatively prime to another number is to find a nearby prime number. For example, 53 is relatively prime with 50. The following pairs are relatively prime. 3, 50 19, 50 37, 50 49, 50 50, 69 50, 201 50, 341 Any number that is not divisible by 2 or 5 will be relatively prime to 50.

You can multiply the number 18 by different numbers that are relatively prime, for example by different prime numbers.

28 If numbers are relatively prime (no common factor other than 1), just multiply them to get the L.C.M. If the are not relatively prime, then decompose them into prime factors, and find the number got by multiplying those exponents.

The only two consecutive numbers that are both prime are 2 and 3. Since there are no other even prime numbers (other than 2), there are no more pairs of consecutive prime numbers. Therefore, the term "twin primes" usually refers to pairs of prime numbers that are 2 numbers apart. Examples are (3, 5), (5, 7), (11, 13), (101, 103), and many others more. It is not currently know whether there are infinitely many twin primes.

When 2 numbers have their GCF = 1, it means that the numbers are relatively prime to each other, which doesn't necessarily mean that they are prime on their own. There are 2 cases where relative prime can be guarenteed: All prime numbers are guarenteed to be relatively prime to all other prime numbers. Any prime number is guarenteed to be relatively prime to any composite number smaller than the prime number. If neither of the above 2 conditions are met, manual calculations must be done to find any existing GCF.

7 and 17 are both primes numbers. The means that to find the LCM we need multiply them. The LCM of 7 and 17 is 7x17 which is 119. If two numbers are prime, then they are also relatively prime and in general the way to find the LCM of relatively prime number is to multiply them together.

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.