The GCF of 6 and 100 is 2. The LCM of 6 and 100 is 300.
Factors of 6: 1, 2, 3, 6.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100.
Common factors: 1 and 2. The greatest of these is 2.
6 = 2 × 3
100 = 2 × 2 × 5 × 5
GCF: multiply the prime factors both numbers share: 2 = 2.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 2 × 3 × 5 × 5 = 300.
Divide the larger number by the smaller and repeat with the remainder until it is 0. The last non-zero remainder is the GCF.
The last non-zero remainder is 2, so GCF(6, 100) = 2.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ...
Multiples of 100: 100, 200, 300, 400, ...
The first number in both lists is 300.
2 × 300 = 600 = 6 × 100. This always holds for two numbers, so you can find the LCM as (6 × 100) ÷ 2 = 300.
Divide the top and bottom by the GCF 2: 6/100 = 3/50.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 6 | 2 | 6 |
| 3 and 6 | 3 | 6 |
| 4 and 6 | 2 | 12 |
| 5 and 6 | 1 | 30 |
| 6 and 7 | 1 | 42 |
| 6 and 8 | 2 | 24 |
| 2 and 100 | 2 | 100 |
| 3 and 100 | 1 | 300 |
| 4 and 100 | 4 | 100 |
| 5 and 100 | 5 | 100 |
| 7 and 100 | 1 | 700 |
| 8 and 100 | 4 | 200 |
See also: factors of 6 · factors of 100.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.