0
To illustrate, let's write several numbers in terms of their prime factors:
24 = 2 x 2 x 2 x 3
25 = 5 x 5
42 = 2 x 3 x 7
70 = 2 x 5 x 7
You can see that 24 and 25 are relatively prime, because they don't share any common prime factors. Likewise, 25 and 42 are relatively prime. 24 and 42, however, are NOT relatively prime because they share the common factors of 2 and 3. Likewise 25 and 70 are NOT relatively prime because they share the common factor 5.
When a fraction is in its simplest form, the numerator and denominator are relatively prime.
Add your answer:
Earn +20 pts
What pair of numbers is relatively prime 10 and 21 12 and 54 15 and 27 21 and 39?
I suggest factoring each pair of numbers, and checking whether they have, or don't have, common factors. A pair of numbers is said to be "relatively prime" if they have no common factors (their greatest common factor is 1). For larger numbers, Euclid's algorithm could be used, but for such small numbers, factoring is probably faster.
True or false if two numbers a relatively prime one of the must be prime?
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.
What two numbers have 1 as there gcf?
Prime and relatively prime numbers all have a GCF of 1.
Is 12 and 35 relatively prime?
12 and 35 are NOT prime numbers.
Is 45 and 64 relatively prime?
Numbers are either prime or they aren't. In this case, 45 is divisible by 3 and 15; sixty-four goes into 2, 4, 8 and 32. The term "relatively prime" compares two numbers and their common factors. If the GCF of the two numbers is 1, then they are "relatively prime."
Are 72 and 252 relatively prime?
No, 72 and 252 are not relatively prime. No pair of even numbers can be relatively prime.
Which pair of numbers is relatively prime 10 or 35?
No, they are not.
What is a pair of relatively prime numbers?
4 and 9
Are 75 and 625 relatively prime?
No, 75 and 625 are not relatively prime. No pair of numbers that both end in 5 can be relatively prime.
What is it called when the product of a pair of numbers is the LCM also?
The numbers are relatively prime, or co-prime.
How can you tell when a number is relatively prime?
A number is never relatively prime.Relatively prime refers to a pair of numbers.
Why can two consecutive numbers be relately prime?
A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.
What pair of numbers is relatively prime 26 and 99 90 and 117 100 and 202 201 and 444?
26 and 99 is the only pair which is relatively prime.
What does it mean to have a pair of relatively prime numbers?
Numbers whose GCF is 1, like 24 and 49, are known as relatively prime. This means that they have no prime factors in common.
Are 28 and 34 relatively prime?
No, 28 and 34 are not relatively prime. No pair of even numbers can be relatively prime, as they always share at least one factor (2).
When a pair of numbers have ONLY 1 as the common factor what is it called?
relatively prime or co-prime.
What are all the composite numbers between 50 and 100 that are relatively prime?
A single number cannot be relatively prime. Any pair of numbers between 50 and 100 of which one is a prime will be relatively prime. There are 728 pairs of numbers that are relatively prime and I have neither the time nor patience to list them all!
