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Q: What is the greatest common denominator of any 2 prime numbers?

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If their greatest common denominator (gcd) is 1, they're relatively prime.

Numbers having no common positive divisors other than one are relatively prime. In other words, the greatest common denominator of the numbers is one. Example: 24 and 25 are relatively prime.

GCF = inf for all real numbers Greatest common denominator however is 1 because 41 is prime.

If the numerator and denominator are prime numbers and not equal then they don't have common factors (except 1 which would be a common factor even if the numerator and denominator were prime numbers).

The numbers 7, 3, and 2 share no common denominator. They are prime numbers.

The greatest common factor of two or more prime numbers is 1.

Since all three numbers are prime and prime numbers have no other factors than themselves, their Least Common Denominator is 1.

you start by prime factoring both numbers. Then you compare factors find the ones in common. If you multiply all of them together you will get the greatest common denominator of the two numbers. Example: Find the greatest common denominator of 305 and 75. 300=5*60=5*3*2*5 75=3*25=3*5*5 the common factors are 5,5 and 3 so the greatest common denominator is 3*5*5=75

Prime numbers and numbers that are relatively prime.

If the greatest common factor is 1, then the numbers are said to be co-prime or relatively prime.

Co-prime numbers, relatively prime numbers and any set of prime numbers.

A prime number

The greatest common factor of two different prime numbers is 1. The two prime numbers have as their factors, 1 and themselves. That means that 1 is the only factor they have in common.The GCF is 1.

product

Yes, the greatest common factor of two different prime numbers is always 1

The numbers are relatively prime, or co-prime.

Such numbers are relatively prime, or co-prime.

No.

1

One.

Yes. The greatest common factor of 4 and 10 is 2, which is a prime number. The greatest common factor of 51 and 81 is 3, which is a prime number.

The greatest common multiple is an infinite amount and not very practical for problem solving. The least common multiple of two prime numbers is their product.

The common denominator is usually the Lowest (or Least) Common Multiple of the numbers involved. Where two numbers have no common factors then the LCM is simply the product of those numbers. As 19 is a prime number and has no factors in common with 18 then the common denominator is 18 x 19 = 342.

As the numbers are all prime, the only factors each of them has are 1 and the number itself. Therefore the greatest, and only, common factor of two of more prime numbers is 1.

The numbers are CO-prime, but not necessarily prime numbers: think of 3 and 4....