GCD of 470, 734, 584, 924 Calculator

Given Input numbers are 470, 734, 584, 924

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 584 :

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

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (470, 734, 584, 924) = 2.

Given numbers are 470, 734, 584, 924

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 734 are 2 x 367

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 470, 734, 584, 924 is 2.

Given numbers are 470, 734, 584, 924

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

Apply this formula for all numbers.

Step1:

LCM(470, 734) = 172490

GCD(470, 734) = ( 470 x 734 ) / 172490

= 470 / 734

= 470

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 470, 734, 584, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 923, 429, 295
• GCD of 557, 386, 482, 355
• GCD of 927, 407, 879, 762
• GCD of 429, 441, 940, 557
• GCD of 886, 329, 100, 818

Given numbers are 470, 734, 584, 924
The greatest common divisor of numbers 470, 734, 584, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 734, 584, 924 is 2.

1. What is the GCD of 470, 734, 584, 924?

GCD of given numbers 470, 734, 584, 924 is 2

2. How to calculate the greatest common divisor of 470, 734, 584, 924?

We can find the highest common divisor of 470, 734, 584, 924 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 470, 734, 584, 924 i.e 2.

3. How can I use the GCD of 470, 734, 584, 924Calculator?

Out the numbers 470, 734, 584, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.