GCD of 689, 301, 552, 744 Calculator

Given Input numbers are 689, 301, 552, 744

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (689, 301, 552, 744) = 1.

Given numbers are 689, 301, 552, 744

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 301 are 7 x 43

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Given numbers are 689, 301, 552, 744

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

Apply this formula for all numbers.

Step1:

LCM(689, 301) = 207389

GCD(689, 301) = ( 689 x 301 ) / 207389

= 689 / 301

= 689

Step2:

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

= 1 / 552

= 1

Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

So, Greatest Common Divisor of 689, 301, 552, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 760, 609, 226
• GCD of 138, 692, 228, 779
• GCD of 215, 657, 876, 555
• GCD of 551, 212, 679, 212
• GCD of 626, 312, 994, 553

Given numbers are 689, 301, 552, 744
The greatest common divisor of numbers 689, 301, 552, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 301, 552, 744 is 1.

1. What is the GCD of 689, 301, 552, 744?

GCD of given numbers 689, 301, 552, 744 is 1

2. How to calculate the greatest common divisor of 689, 301, 552, 744?

We can find the highest common divisor of 689, 301, 552, 744 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 689, 301, 552, 744 i.e 1.

3. How can I use the GCD of 689, 301, 552, 744Calculator?

Out the numbers 689, 301, 552, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.