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In mathematics, the greatest common divisor (GCD), also known as greatest common factor (GCF), of two or more integers, ... For example, gcd(42, 56) = 14, ...
Bézout's identity states that the greatest common divisor g of two integers a and b can be represented as a linear sum of the original two numbers a and b. [56] In other words, it is always possible to find integers s and t such that g = sa + tb. [57] [58]
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
The first: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154 (sequence A007304 in the OEIS). a 0 (n) is the sum of primes dividing n, counted with multiplicity. It is an additive function. A Ruth-Aaron pair is two consecutive numbers (x, x+1) with a 0 (x) = a 0 (x+1).
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
If served consecutively, Colantonio faces 56 years in prison, with a mandatory minimum sentence of 5 years, a fine of $1 million and three years of supervised release. A change of plea hearing is ...
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The following table shows how the extended Euclidean algorithm proceeds with input 240 and 46.The greatest common divisor is the last non zero entry, 2 in the column "remainder".