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How many integers 'n' are there such that 2 is less than or equal to 'n' which is less than or equal to 1000 and the highest common factor of n and 36 is 1?
Wiki User
∙ 14y ago
Factors of 36:
36 = 22 * 32
Thus, n and 36 has highest common factor as 1, if and only if when n is not a multiple of 2 and 3.
Total number of multiples of 2 in the given range=500
Total number of multiples of 3 in the given range=333
Total number of multiples of 6 in the given range=166
Total number of multiples of 2 and 3 in the given range=500+333-166=667
Thus, the total number of 'n' in the given range which are not multiples of 2 and 3
= 999-667 = 332.
332 numbers are there such that it is greater than or equal to 2 and less than or equal to 1000 and the highest common factor of the number and 36 is 1.
Wiki User
∙ 14y ago
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Is the is the least common factor of a set of numbers always equal to one of the numbers in the set?
The least common factor of any two or more positive integers is always 1.
What is the highest common factor of 6 and 36?
The highest common factor of two numbers is always equal to the smallest number if that number is a factor of the larger number. This is the case here. Since 6 is a factor of 36, 6 is the highest common factor of 6 and 36.
What is a GCF?
The abbreviation "GCF" means Greatest Common Factor. A GCF is the highest number that can be multiplied that two numbers have in common. An example is that the number 4 is the GCF of 8 and 12. That means when you are comparing the numbers 8 and 12, the highest number that they share that can be multiplied to equal either 8 or 12, is 4.
What three pairs of numbers least common factor equal the product of the two numbers?
The least common factor of any set of integers is 1.The concept of a common factor is used only in the context of positive integers since other wise every non-zero number is a factor of every number. The only pair of positive integers whose product is 1 is {1, 1}.
How many positive integers less than or equal to 100 have a prime factor that is greater than 4?
There are 80 such integers.
What is the greastest common factor of 4 5 and 8?
The highest common factor of 45 (forty-five) and 8 (eight) would equal to 1 (one). See: 45= 1 x 45 8= 1 x 8 3 x 15 2 x 4 5 x 9 Common Factor= 1 H.C.F. (Highest Common Factor)= 1
What is the lcm of 77 and 54?
4158. The highest common factor is only 1, so it is equal to 1 x 77 x 54 = 4158.
What is the greatest common factor of 28 63 and 91?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 28 and 90 is 2
What is a set of six positive integers with the property that given any two of these integers their highest common factor is equal to their difference?
210, 216, 220, 224, 225, 240. Thank you for a lot of fun sir. --- Here's a set of seven numbers: 14976, 14994, 15000, 15008, 15012, 15015, 15120 And here's eight: 552720, 552825, 552960, 553000, 553014, 553140, 553280, 554400
If the common factor is divided out of the original expression the reduced expression will be equal to the original expression only when?
the common factor is 1.
How can you use greatest common factor x least common multiple equals A x B?
The product of any two integers is equal to the product of their GCF and LCM. That means you can find any of those four numbers by knowing the other three.
What circumstances would the greatest common factor be equal to numerator?
If the numerator was a factor of the denominator.
