GCD of 977, 749, 204, 324 Calculator

Given Input numbers are 977, 749, 204, 324

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (977, 749, 204, 324) = 1.

Given numbers are 977, 749, 204, 324

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 749 are 7 x 107

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 324 are 2 x 2 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 977, 749, 204, 324

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

Apply this formula for all numbers.

Step1:

LCM(977, 749) = 731773

GCD(977, 749) = ( 977 x 749 ) / 731773

= 977 / 749

= 977

Step2:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

So, Greatest Common Divisor of 977, 749, 204, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 392, 665, 260
• GCD of 477, 333, 632, 569
• GCD of 144, 233, 544, 466
• GCD of 988, 631, 825, 670
• GCD of 149, 736, 377, 143

Given numbers are 977, 749, 204, 324
The greatest common divisor of numbers 977, 749, 204, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 749, 204, 324 is 1.

1. What is the GCD of 977, 749, 204, 324?

GCD of given numbers 977, 749, 204, 324 is 1

2. How to calculate the greatest common divisor of 977, 749, 204, 324?

We can find the highest common divisor of 977, 749, 204, 324 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 977, 749, 204, 324 i.e 1.

3. How can I use the GCD of 977, 749, 204, 324Calculator?

Out the numbers 977, 749, 204, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.