GCD of 689, 496, 523 Calculator

Given Input numbers are 689, 496, 523

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (689, 496, 523) = 1.

Given numbers are 689, 496, 523

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 523 are 523

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

Given numbers are 689, 496, 523

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

Apply this formula for all numbers.

Step1:

LCM(689, 496) = 341744

GCD(689, 496) = ( 689 x 496 ) / 341744

= 689 / 496

= 689

Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 689, 496, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 944, 332
• GCD of 832, 242, 710
• GCD of 659, 873, 392
• GCD of 945, 102, 328
• GCD of 920, 158, 283

Given numbers are 689, 496, 523
The greatest common divisor of numbers 689, 496, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 496, 523 is 1.

1. What is the GCD of 689, 496, 523?

GCD of given numbers 689, 496, 523 is 1

2. How to calculate the greatest common divisor of 689, 496, 523?

We can find the highest common divisor of 689, 496, 523 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, 496, 523 i.e 1.

3. How can I use the GCD of 689, 496, 523Calculator?

Out the numbers 689, 496, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.