GCD of 894, 508, 462, 634 Calculator

Given Input numbers are 894, 508, 462, 634

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (894, 508, 462, 634) = 2.

Given numbers are 894, 508, 462, 634

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 508 are 2 x 2 x 127

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 894, 508, 462, 634 is 2.

Given numbers are 894, 508, 462, 634

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

Apply this formula for all numbers.

Step1:

LCM(894, 508) = 227076

GCD(894, 508) = ( 894 x 508 ) / 227076

= 894 / 508

= 894

Step2:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 894, 508, 462, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 136, 648, 573
• GCD of 362, 782, 150, 332
• GCD of 432, 315, 186, 639
• GCD of 205, 815, 164, 859
• GCD of 311, 155, 931, 620

Given numbers are 894, 508, 462, 634
The greatest common divisor of numbers 894, 508, 462, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 508, 462, 634 is 2.

1. What is the GCD of 894, 508, 462, 634?

GCD of given numbers 894, 508, 462, 634 is 2

2. How to calculate the greatest common divisor of 894, 508, 462, 634?

We can find the highest common divisor of 894, 508, 462, 634 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 894, 508, 462, 634 i.e 2.

3. How can I use the GCD of 894, 508, 462, 634Calculator?

Out the numbers 894, 508, 462, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.