GCD of 634, 908, 382, 900 Calculator

Given Input numbers are 634, 908, 382, 900

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

Divisors of 634 :

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

1, 2, 317, 634

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (634, 908, 382, 900) = 2.

Given numbers are 634, 908, 382, 900

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 908 are 2 x 2 x 227

Prime factors of 382 are 2 x 191

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 634, 908, 382, 900 is 2.

Given numbers are 634, 908, 382, 900

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

Apply this formula for all numbers.

Step1:

LCM(634, 908) = 287836

GCD(634, 908) = ( 634 x 908 ) / 287836

= 634 / 908

= 634

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 634, 908, 382, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 716, 510, 600
• GCD of 233, 395, 949, 879
• GCD of 597, 368, 926, 189
• GCD of 886, 829, 746, 804
• GCD of 489, 298, 713, 692

Given numbers are 634, 908, 382, 900
The greatest common divisor of numbers 634, 908, 382, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 908, 382, 900 is 2.

1. What is the GCD of 634, 908, 382, 900?

GCD of given numbers 634, 908, 382, 900 is 2

2. How to calculate the greatest common divisor of 634, 908, 382, 900?

We can find the highest common divisor of 634, 908, 382, 900 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 634, 908, 382, 900 i.e 2.

3. How can I use the GCD of 634, 908, 382, 900Calculator?

Out the numbers 634, 908, 382, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.