Respuesta :
The greatest common multiple of 10 and 40 is 10.
What is meant by greatest common multiple?
The greatest common divisor (GCD) of two or more integers, where at least one of them is not zero, is the largest positive integer that is a divisor of both numbers. For example, the GCD of 8 and 12 equals 4.
In the divisibility preorder relation, the GCD of a and b is their greatest positive common divisor. This signifies that a and b's common divisors are the same as their GCD divisors. The Euclidean algorithm or Euclid's lemma are widely used to establish this. This is the definition of "greatest" in the context of GCD generalizations.
Foe calculating the GCD of 10 and 40, we have to find the factors of 10 and 40.
Factors of 10:
1, 2, 5, 10
Factors of 40:
1, 2, 4, 5, 10, 20, 40
From all these factors we have to choose the greatest factor that is exactly divisible by both 10 and 40 are 1, 2, 10, and 5.
So, the greatest common multiple of 10 and 40 is 10.
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