Greatest Common Divisor (GCD) for 18 45 72 is 9.
The GCF is 9.
GCD: 9
GCD(45, 72) = 9 so the simplest form is (45/9) / (72/9) = 5/8
Euclid's algorithm is a popular algorithm to compute the GCD of two numbers. Algorithm: Gcd(a,b) = Gcd(b, a mod b), where a>=b and Gcd(a,0) = a Say we want to find the GCD of 72 and 105. 105 mod 72 = 33, so GCD(72,105) = GCD(33,72) 72 mod 33 = 6, so GCD(33,72) = GCD(6,33) 33 mod 6 = 3 so GCD(6,33) = GCD(3,6) 6 mod 3 = 0 so GCD(3,6) = GCD(0,3) = 3. So the GCD of 72 and 105 is 3.
GCD(27, 72) = 9
Prime factor each number. 18=2x3x3 45=3x3x5 72=2x2x2x3x3 Use each prime factor the number of times it was used the MOST in any one of the numbers. 2x2x2x3x3x5=360 The least common denominator of 18, 45, and 72 is 360.
The Greatest Common Divisor of 18, 45, 72 is 9.
The numbers that go into both 45 and 72 are their common divisors. The common divisors of 45 are 1, 3, 5, 9, 15, and 45, while the common divisors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The only common divisors between the two numbers are 1, 3, and 9. Thus, the numbers that go into both 45 and 72 are 1, 3, and 9.
The expression (72 9) typically represents the greatest common divisor (GCD) of the numbers 72 and 9. To find this, we can determine the factors of both numbers. The GCD of 72 and 9 is 9, as 9 is the largest number that divides both without leaving a remainder. Therefore, (72 9) is equivalent to 9.
18 27 36 45 54 63 72 81 90
18 = (3)(3)(2)45 = (3)(3)(5)72 = (3)(3)(2)(2)(2)(3)(3) = 99 is the answer
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