GCD of 753, 392, 351, 689 Calculator

Given Input numbers are 753, 392, 351, 689

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (753, 392, 351, 689) = 1.

Given numbers are 753, 392, 351, 689

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 689 are 13 x 53

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

Given numbers are 753, 392, 351, 689

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

Apply this formula for all numbers.

Step1:

LCM(753, 392) = 295176

GCD(753, 392) = ( 753 x 392 ) / 295176

= 753 / 392

= 753

Step2:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 753, 392, 351, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 804, 107, 346
• GCD of 717, 160, 188, 377
• GCD of 622, 671, 301, 507
• GCD of 703, 792, 552, 867
• GCD of 250, 209, 658, 159

Given numbers are 753, 392, 351, 689
The greatest common divisor of numbers 753, 392, 351, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 392, 351, 689 is 1.

1. What is the GCD of 753, 392, 351, 689?

GCD of given numbers 753, 392, 351, 689 is 1

2. How to calculate the greatest common divisor of 753, 392, 351, 689?

We can find the highest common divisor of 753, 392, 351, 689 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 753, 392, 351, 689 i.e 1.

3. How can I use the GCD of 753, 392, 351, 689Calculator?

Out the numbers 753, 392, 351, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.