Let's call G the gcd and L the LCM of two numbers W and A ( for Wiki Answers)
We know LG=WA
and we are told L=90 and G=3So we have LG=270
Now, we are also told W=A+3 So let's substitute,
270=WA=A(A+3)so we have A^2+3A-270=0Now factor this (x-15)(x+18)=0 so x= 15 is one answer and x=15+3=18 is the other number.
Let's check and see if it works.
1. 18=15+3 so that condition is satisfied2. GCD is 3 and the LCM is 90 as desired.So we are done and the answer is:
15 and 18
The greatest common factor between two numbers. There is no term.
The greatest common multiple of any two numbers is infinite.
The greatest common multiple of any set of numbers is infinite.
There is not a greatest common factor of a single number, such as 5p, because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 5p are 1, 5, p, and 5p.Examples:The greatest common factor of 5p and 30p is 5p.The greatest common factor of 5p and 43p is p.The greatest common factor of 5p and 83 is 1, unless p is a multiple of 83, in which case the greatest common factor is 83.
The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.
The greatest common factor between two numbers. There is no term.
Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.
The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.
The greatest common multiple of any two numbers is infinite.
Never. The greatest common multiple of any two numbers is infinite.
The greatest common multiple of any set of integers is infinite.
The GREATEST common multiple is a number approaching infinity. The LEAST common multiple is 540.
There is no greatest common multiple of these numbers... or indeed of any pair of numbers. Once you get a common multiple, you can multiply that by any integer, as large as you want, to get a larger common multiple.
they are closely related, but GCF (greatest common factor) is the largest common factor between two or more numbers.
The greatest common multiple of any two numbers is infinite.
The greatest of the common factors of two or more numbers is the GCF
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.