GCD of 689, 765, 705, 496 Calculator

Given Input numbers are 689, 765, 705, 496

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 496 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (689, 765, 705, 496) = 1.

Given numbers are 689, 765, 705, 496

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 689, 765, 705, 496

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

Apply this formula for all numbers.

Step1:

LCM(689, 765) = 527085

GCD(689, 765) = ( 689 x 765 ) / 527085

= 689 / 765

= 689

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 689, 765, 705, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 436, 805, 651
• GCD of 908, 821, 216, 781
• GCD of 992, 524, 412, 333
• GCD of 241, 822, 640, 450
• GCD of 398, 825, 287, 172

Given numbers are 689, 765, 705, 496
The greatest common divisor of numbers 689, 765, 705, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 765, 705, 496 is 1.

1. What is the GCD of 689, 765, 705, 496?

GCD of given numbers 689, 765, 705, 496 is 1

2. How to calculate the greatest common divisor of 689, 765, 705, 496?

We can find the highest common divisor of 689, 765, 705, 496 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, 765, 705, 496 i.e 1.

3. How can I use the GCD of 689, 765, 705, 496Calculator?

Out the numbers 689, 765, 705, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.