GCD of 723, 737, 198, 422 Calculator

Given Input numbers are 723, 737, 198, 422

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (723, 737, 198, 422) = 1.

Given numbers are 723, 737, 198, 422

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 737 are 11 x 67

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

Prime factors of 422 are 2 x 211

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

Given numbers are 723, 737, 198, 422

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

Apply this formula for all numbers.

Step1:

LCM(723, 737) = 532851

GCD(723, 737) = ( 723 x 737 ) / 532851

= 723 / 737

= 723

Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 723, 737, 198, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 523, 499, 222
• GCD of 369, 214, 827, 370
• GCD of 422, 604, 828, 820
• GCD of 890, 645, 729, 682
• GCD of 245, 842, 223, 193

Given numbers are 723, 737, 198, 422
The greatest common divisor of numbers 723, 737, 198, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 737, 198, 422 is 1.

1. What is the GCD of 723, 737, 198, 422?

GCD of given numbers 723, 737, 198, 422 is 1

2. How to calculate the greatest common divisor of 723, 737, 198, 422?

We can find the highest common divisor of 723, 737, 198, 422 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 723, 737, 198, 422 i.e 1.

3. How can I use the GCD of 723, 737, 198, 422Calculator?

Out the numbers 723, 737, 198, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.