GCD of 200, 972, 306, 838 Calculator

Given Input numbers are 200, 972, 306, 838

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

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (200, 972, 306, 838) = 2.

Given numbers are 200, 972, 306, 838

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 200, 972, 306, 838 is 2.

Given numbers are 200, 972, 306, 838

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

Apply this formula for all numbers.

Step1:

LCM(200, 972) = 48600

GCD(200, 972) = ( 200 x 972 ) / 48600

= 200 / 972

= 200

Step2:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 200, 972, 306, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 887, 416, 186
• GCD of 674, 724, 570, 956
• GCD of 956, 253, 616, 118
• GCD of 452, 661, 783, 533
• GCD of 203, 624, 198, 275

Given numbers are 200, 972, 306, 838
The greatest common divisor of numbers 200, 972, 306, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 972, 306, 838 is 2.

1. What is the GCD of 200, 972, 306, 838?

GCD of given numbers 200, 972, 306, 838 is 2

2. How to calculate the greatest common divisor of 200, 972, 306, 838?

We can find the highest common divisor of 200, 972, 306, 838 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 200, 972, 306, 838 i.e 2.

3. How can I use the GCD of 200, 972, 306, 838Calculator?

Out the numbers 200, 972, 306, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.