the GCF of two numbers is 3 and their LCF is 180 .if one of the number is 45 then find the other one?
Typo?
anyway
45 = 3 * 15 = 3 * 3 * 5
180 = 2*9*2*5 = 2*2*3*3*5
Whatever your question is, that might help.
To find the other number, we can use the relationship between the greatest common factor (GCF) and the least common multiple (LCM) of two numbers.
The GCF of two numbers represents the largest common factor that divides both numbers evenly. In this case, we know that the GCF is 3.
The LCM of two numbers represents the smallest number that is divisible by both numbers without leaving a remainder. In this case, we know that the LCM is 180.
Given that one of the numbers is 45, we can use this information to calculate the other number.
To find the LCM, we can use the formula: LCM = (Number 1 * Number 2) / GCF
Substituting the known values, we get: 180 = (45 * Number 2) / 3
To solve for Number 2, we can cross multiply and then divide by 45 and multiply by 3:
180 * 3 = 45 * Number 2
540 = 45 * Number 2
540 / 45 = Number 2
12 = Number 2
Therefore, the other number is 12.