GCD of 974, 369, 198, 321 Calculator

Given Input numbers are 974, 369, 198, 321

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (974, 369, 198, 321) = 1.

Given numbers are 974, 369, 198, 321

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 369 are 3 x 3 x 41

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 321 are 3 x 107

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

Given numbers are 974, 369, 198, 321

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

Apply this formula for all numbers.

Step1:

LCM(974, 369) = 359406

GCD(974, 369) = ( 974 x 369 ) / 359406

= 974 / 369

= 974

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 974, 369, 198, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 296, 796, 817
• GCD of 569, 206, 591, 713
• GCD of 203, 320, 389, 361
• GCD of 614, 124, 714, 434
• GCD of 548, 941, 689, 902

Given numbers are 974, 369, 198, 321
The greatest common divisor of numbers 974, 369, 198, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 369, 198, 321 is 1.

1. What is the GCD of 974, 369, 198, 321?

GCD of given numbers 974, 369, 198, 321 is 1

2. How to calculate the greatest common divisor of 974, 369, 198, 321?

We can find the highest common divisor of 974, 369, 198, 321 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 974, 369, 198, 321 i.e 1.

3. How can I use the GCD of 974, 369, 198, 321Calculator?

Out the numbers 974, 369, 198, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.