GCD of 649, 395, 200, 972 Calculator

Given Input numbers are 649, 395, 200, 972

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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

GCD of numbers is the greatest common divisor

So, the GCD (649, 395, 200, 972) = 1.

Given numbers are 649, 395, 200, 972

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 395 are 5 x 79

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 649, 395, 200, 972

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

Apply this formula for all numbers.

Step1:

LCM(649, 395) = 256355

GCD(649, 395) = ( 649 x 395 ) / 256355

= 649 / 395

= 649

Step2:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 649, 395, 200, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 131, 475, 393
• GCD of 834, 899, 838, 310
• GCD of 690, 537, 956, 166
• GCD of 966, 526, 102, 871
• GCD of 515, 142, 551, 404

Given numbers are 649, 395, 200, 972
The greatest common divisor of numbers 649, 395, 200, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 395, 200, 972 is 1.

1. What is the GCD of 649, 395, 200, 972?

GCD of given numbers 649, 395, 200, 972 is 1

2. How to calculate the greatest common divisor of 649, 395, 200, 972?

We can find the highest common divisor of 649, 395, 200, 972 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 649, 395, 200, 972 i.e 1.

3. How can I use the GCD of 649, 395, 200, 972Calculator?

Out the numbers 649, 395, 200, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.