GCD of 634, 200, 396, 258 Calculator

Given Input numbers are 634, 200, 396, 258

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 (634, 200, 396, 258) = 2.

Given numbers are 634, 200, 396, 258

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 634, 200, 396, 258 is 2.

Given numbers are 634, 200, 396, 258

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

Apply this formula for all numbers.

Step1:

LCM(634, 200) = 63400

GCD(634, 200) = ( 634 x 200 ) / 63400

= 634 / 200

= 634

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 258) = 258

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

= 2 / 258

= 2

So, Greatest Common Divisor of 634, 200, 396, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 102, 628, 525
• GCD of 448, 314, 787, 570
• GCD of 848, 671, 377, 920
• GCD of 528, 108, 922, 678
• GCD of 949, 108, 778, 288

Given numbers are 634, 200, 396, 258
The greatest common divisor of numbers 634, 200, 396, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 200, 396, 258 is 2.

1. What is the GCD of 634, 200, 396, 258?

GCD of given numbers 634, 200, 396, 258 is 2

2. How to calculate the greatest common divisor of 634, 200, 396, 258?

We can find the highest common divisor of 634, 200, 396, 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 634, 200, 396, 258 i.e 2.

3. How can I use the GCD of 634, 200, 396, 258Calculator?

Out the numbers 634, 200, 396, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.