GCD of 644, 404, 974, 684 Calculator

Given Input numbers are 644, 404, 974, 684

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (644, 404, 974, 684) = 2.

Given numbers are 644, 404, 974, 684

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 404 are 2 x 2 x 101

Prime factors of 974 are 2 x 487

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 644, 404, 974, 684 is 2.

Given numbers are 644, 404, 974, 684

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

Apply this formula for all numbers.

Step1:

LCM(644, 404) = 65044

GCD(644, 404) = ( 644 x 404 ) / 65044

= 644 / 404

= 644

Step2:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 644, 404, 974, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 328, 683, 767
• GCD of 250, 405, 742, 531
• GCD of 164, 397, 485, 497
• GCD of 533, 439, 310, 410
• GCD of 172, 921, 960, 256

Given numbers are 644, 404, 974, 684
The greatest common divisor of numbers 644, 404, 974, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 404, 974, 684 is 2.

1. What is the GCD of 644, 404, 974, 684?

GCD of given numbers 644, 404, 974, 684 is 2

2. How to calculate the greatest common divisor of 644, 404, 974, 684?

We can find the highest common divisor of 644, 404, 974, 684 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 644, 404, 974, 684 i.e 2.

3. How can I use the GCD of 644, 404, 974, 684Calculator?

Out the numbers 644, 404, 974, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.