The GCF of 11 and 100 is 1. The LCM of 11 and 100 is 1,100.
11 and 100 share no common factor except 1, so they are coprime (relatively prime). When two numbers are coprime their LCM is simply their product: 11 × 100 = 1,100.
Factors of 11: 1, 11.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100.
Common factors: 1. The greatest of these is 1.
11 = 11 (prime)
100 = 2 × 2 × 5 × 5
GCF: multiply the prime factors both numbers share: there are none, so the GCF is 1.
LCM: multiply every prime the maximum number of times it appears in either number: 2 × 2 × 5 × 5 × 11 = 1,100.
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 1, so GCF(11, 100) = 1.
Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, ...
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, ...
The first number in both lists is 1,100.
1 × 1,100 = 1,100 = 11 × 100. This always holds for two numbers, so you can find the LCM as (11 × 100) ÷ 1 = 1,100.
11/100 is already in lowest terms because the GCF of 11 and 100 is 1.
| Numbers | GCF | LCM |
|---|---|---|
| 2 and 11 | 1 | 22 |
| 3 and 11 | 1 | 33 |
| 4 and 11 | 1 | 44 |
| 5 and 11 | 1 | 55 |
| 6 and 11 | 1 | 66 |
| 7 and 11 | 1 | 77 |
| 2 and 100 | 2 | 100 |
| 3 and 100 | 1 | 300 |
| 4 and 100 | 4 | 100 |
| 5 and 100 | 5 | 100 |
| 6 and 100 | 2 | 300 |
| 7 and 100 | 1 | 700 |
See also: factors of 11 · factors of 100 · 11/100 as a decimal.
Different numbers? Use the GCF and LCM calculator (any amount of numbers) or browse all GCF and LCM pairs.