Oh, dude, you want numbers that are like the yin and yang of math, huh? So, for the GCF to be 3, the numbers have to have 3 as a common factor. And for the LCM to be 360, they need to have all the prime factors of 360. So, the numbers are 3 and 120. It's like finding the perfect pair of jeans, but in math form.
It is impossible to answer this question because of insufficient information:
The question does not state how many numbers are concerned.
The LCM and GCF of a pair of numbers is NOT sufficient to identify them. For example, (3, 120), (15, 24) satisfy the requirements and there is no way to determine which of them is appropriate.
Oh, what a happy little question! To find the numbers with a least common multiple (LCM) of 360 and a greatest common factor (GCF) of 3, we can use the relationship LCM x GCF = product of the two numbers. So, if the LCM is 360 and the GCF is 3, the two numbers would be 120 and 9. Just like painting a beautiful landscape, it's all about finding the right balance and harmony between the numbers.
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
You can multiply the number 18 by different numbers that are relatively prime, for example by different prime numbers.
7, 14 and 21
the answer is 45 90 and 60
3 and 360
Oh, what a happy little question! To find the numbers with a least common multiple (LCM) of 360 and a greatest common factor (GCF) of 3, we can use the relationship LCM x GCF = product of the two numbers. So, if the LCM is 360 and the GCF is 3, the two numbers would be 120 and 9. Just like painting a beautiful landscape, it's all about finding the right balance and harmony between the numbers.
You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.
You need at least two numbers to find a GCF.
the two smallest numbers are 49 and 14
The GCF is: 120
As written, no numbers satisfy those conditions. 6 and 36 have a GCF of 6 and an LCM of 36.
8 and 360
10 and 120
Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.
The GCF of 6 and 10 is 2.
The greatest common factor of the numbers 18 and 360 is 18. The least common multiple of the numbers 18 and 360 is 360.