Ratkaise kaikki matematiikan ongelmat

Askel kerrallaan

1. \gcd(3, 5)

   Use Euclid's algorithm: replace the larger number by its remainder on division by the smaller, until the remainder is 0.

2. 5 = 1 \times 3 + 2

   Divide 5 by 3: quotient 1, remainder 2.

3. 3 = 1 \times 2 + 1

   Divide 3 by 2: quotient 1, remainder 1.

4. 2 = 2 \times 1 + 0

   Divide 2 by 1: quotient 2, remainder 0.

5. \gcd(3, 5) = 1

   Euclid gives the gcd.

6. \operatorname{lcm}(3, 5) = \frac{3 \times 5}{\gcd(3, 5)} = \frac{15}{1} = 15

   lcm × gcd = a × b, so divide the product by the gcd.