The two numbers 18 and 27.
Factorising the lcm and gcf gives:
54 = 2 × 3³
9 = 3²
There must be 3² in both numbers, but there must be a 3³ and a 2 which must appear in the prime factorisations of the two numbers. Putting a 2 with one 3² and a 3 with the other 3² leads to the two numbers:
2 × 3² = 18
3 × 3³ = 3³ = 27
as the two smallest numbers with gcf=9 and lcm=54. The other distribution of both 2 and 3 with one 3² results in the two number 3² = 9 and 2 × 3³ = 54, the latter of which is larger than both the 18 and 27 previously found.
the two smallest numbers are 49 and 14
The GCF of 6 and 10 is 2.
10 and 120
2 and 30 6 and 10
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. In this case, the GCF of 12 and 144 is 12. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. The LCM of 12 and 144 is 144. Therefore, the numbers that have a GCF of 12 and an LCM of 144 are 12 and 144.
the two smallest numbers are 49 and 14
18 and 81
18 and 9 * * * * * Not so. LCM(9, 18) = 18, not 54. The correct answer is 18, 27.
20 and 100.GCF is 20, and LCM is 100.
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.
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
The GCF of 6 and 10 is 2.
12 and 66
12 and 216
11 and 5
3 and 360
Because the GCF is the largest factor common to all the numbers in the sample. The LCM is the smallest number that all the sample numbers will divide into !