GCD of 364, 584, 450, 258 Calculator

Given Input numbers are 364, 584, 450, 258

In the factoring method, we have to find the divisors of all numbers

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (364, 584, 450, 258) = 2.

Given numbers are 364, 584, 450, 258

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 364, 584, 450, 258 is 2.

Given numbers are 364, 584, 450, 258

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(364, 584) = 53144

GCD(364, 584) = ( 364 x 584 ) / 53144

= 364 / 584

= 364

Step2:

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

= 4 / 450

= 4

Step3:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2

So, Greatest Common Divisor of 364, 584, 450, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 683, 497, 763
• GCD of 640, 629, 197, 646
• GCD of 874, 163, 736, 400
• GCD of 149, 951, 707, 207
• GCD of 683, 750, 667, 113

Given numbers are 364, 584, 450, 258
The greatest common divisor of numbers 364, 584, 450, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 584, 450, 258 is 2.

1. What is the GCD of 364, 584, 450, 258?

GCD of given numbers 364, 584, 450, 258 is 2

2. How to calculate the greatest common divisor of 364, 584, 450, 258?

We can find the highest common divisor of 364, 584, 450, 258 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 364, 584, 450, 258 i.e 2.

3. How can I use the GCD of 364, 584, 450, 258Calculator?

Out the numbers 364, 584, 450, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.