GCD of 574, 374, 18, 693 Calculator

Given Input numbers are 574, 374, 18, 693

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

Divisors of 574 :

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

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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

GCD of numbers is the greatest common divisor

So, the GCD (574, 374, 18, 693) = 1.

Given numbers are 574, 374, 18, 693

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 374 are 2 x 11 x 17

Prime factors of 18 are 2 x 3 x 3

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

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

Given numbers are 574, 374, 18, 693

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

Apply this formula for all numbers.

Step1:

LCM(574, 374) = 107338

GCD(574, 374) = ( 574 x 374 ) / 107338

= 574 / 374

= 574

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

Step3:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

So, Greatest Common Divisor of 574, 374, 18, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 893, 28, 345
• GCD of 221, 621, 64, 427
• GCD of 550, 554, 74, 331
• GCD of 187, 324, 79, 656
• GCD of 215, 506, 28, 123

Given numbers are 574, 374, 18, 693
The greatest common divisor of numbers 574, 374, 18, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 374, 18, 693 is 1.

1. What is the GCD of 574, 374, 18, 693?

GCD of given numbers 574, 374, 18, 693 is 1

2. How to calculate the greatest common divisor of 574, 374, 18, 693?

We can find the highest common divisor of 574, 374, 18, 693 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 574, 374, 18, 693 i.e 1.

3. How can I use the GCD of 574, 374, 18, 693Calculator?

Out the numbers 574, 374, 18, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.