GCD of 424, 272, 408, 693 Calculator

Given Input numbers are 424, 272, 408, 693

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 (424, 272, 408, 693) = 1.

Given numbers are 424, 272, 408, 693

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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 424, 272, 408, 693

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

Apply this formula for all numbers.

Step1:

LCM(424, 272) = 14416

GCD(424, 272) = ( 424 x 272 ) / 14416

= 424 / 272

= 424

Step2:

LCM(8, 408) = 408

GCD(8, 408) = ( 8 x 408 ) / 408

= 8 / 408

= 8

Step3:

LCM(8, 693) = 5544

GCD(8, 693) = ( 8 x 693 ) / 5544

= 8 / 693

= 8

So, Greatest Common Divisor of 424, 272, 408, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 428, 745, 148
• GCD of 733, 662, 410, 991
• GCD of 752, 612, 697, 837
• GCD of 306, 240, 480, 927
• GCD of 585, 568, 908, 364

Given numbers are 424, 272, 408, 693
The greatest common divisor of numbers 424, 272, 408, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 272, 408, 693 is 1.

1. What is the GCD of 424, 272, 408, 693?

GCD of given numbers 424, 272, 408, 693 is 1

2. How to calculate the greatest common divisor of 424, 272, 408, 693?

We can find the highest common divisor of 424, 272, 408, 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 424, 272, 408, 693 i.e 1.

3. How can I use the GCD of 424, 272, 408, 693Calculator?

Out the numbers 424, 272, 408, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.