GCD of 693, 724, 400, 574 Calculator

Given Input numbers are 693, 724, 400, 574

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (693, 724, 400, 574) = 1.

Given numbers are 693, 724, 400, 574

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 574 are 2 x 7 x 41

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

Given numbers are 693, 724, 400, 574

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

Apply this formula for all numbers.

Step1:

LCM(693, 724) = 501732

GCD(693, 724) = ( 693 x 724 ) / 501732

= 693 / 724

= 693

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

So, Greatest Common Divisor of 693, 724, 400, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 390, 472, 873
• GCD of 890, 471, 539, 178
• GCD of 152, 237, 659, 932
• GCD of 813, 256, 674, 418
• GCD of 342, 832, 608, 220

Given numbers are 693, 724, 400, 574
The greatest common divisor of numbers 693, 724, 400, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 724, 400, 574 is 1.

1. What is the GCD of 693, 724, 400, 574?

GCD of given numbers 693, 724, 400, 574 is 1

2. How to calculate the greatest common divisor of 693, 724, 400, 574?

We can find the highest common divisor of 693, 724, 400, 574 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 693, 724, 400, 574 i.e 1.

3. How can I use the GCD of 693, 724, 400, 574Calculator?

Out the numbers 693, 724, 400, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.