GCD of 997, 696, 748, 361 Calculator

Given Input numbers are 997, 696, 748, 361

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

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (997, 696, 748, 361) = 1.

Given numbers are 997, 696, 748, 361

The list of prime factors of all numbers are

Prime factors of 997 are 997

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 361 are 19 x 19

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

Given numbers are 997, 696, 748, 361

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

Apply this formula for all numbers.

Step1:

LCM(997, 696) = 693912

GCD(997, 696) = ( 997 x 696 ) / 693912

= 997 / 696

= 997

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 997, 696, 748, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 566, 877, 561
• GCD of 768, 288, 182, 402
• GCD of 342, 261, 858, 467
• GCD of 374, 901, 611, 675
• GCD of 769, 203, 792, 602

Given numbers are 997, 696, 748, 361
The greatest common divisor of numbers 997, 696, 748, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 696, 748, 361 is 1.

1. What is the GCD of 997, 696, 748, 361?

GCD of given numbers 997, 696, 748, 361 is 1

2. How to calculate the greatest common divisor of 997, 696, 748, 361?

We can find the highest common divisor of 997, 696, 748, 361 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 997, 696, 748, 361 i.e 1.

3. How can I use the GCD of 997, 696, 748, 361Calculator?

Out the numbers 997, 696, 748, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.