Description: The gcd of 60 and 6 is 6. (Contributed by metakunt, 25-Apr-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | 60gcd6e6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6nn | ||
2 | 1 | decnncl2 | |
3 | 1 2 | gcdcomnni | |
4 | 1 | nnnn0i | |
5 | 1nn0 | ||
6 | 0nn0 | ||
7 | eqid | ||
8 | 6cn | ||
9 | 8 | mulid2i | |
10 | 8 | mul02i | |
11 | 4 5 6 7 9 10 | decmul1 | |
12 | 10nn | ||
13 | 12 1 | mulcomnni | |
14 | 11 13 | eqtr3i | |
15 | 14 | oveq2i | |
16 | 1 12 | gcdmultiplei | |
17 | 15 16 | eqtri | |
18 | 3 17 | eqtr3i |