GCD of 735, 512, 265, 689 Calculator

Given Input numbers are 735, 512, 265, 689

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

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 (735, 512, 265, 689) = 1.

Given numbers are 735, 512, 265, 689

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 265 are 5 x 53

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 735, 512, 265, 689

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

Apply this formula for all numbers.

Step1:

LCM(735, 512) = 376320

GCD(735, 512) = ( 735 x 512 ) / 376320

= 735 / 512

= 735

Step2:

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

= 1 / 265

= 1

Step3:

LCM(1, 689) = 689

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

= 1 / 689

= 1

So, Greatest Common Divisor of 735, 512, 265, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 462, 284, 765
• GCD of 768, 663, 814, 403
• GCD of 175, 763, 426, 522
• GCD of 407, 249, 170, 914
• GCD of 978, 273, 838, 547

Given numbers are 735, 512, 265, 689
The greatest common divisor of numbers 735, 512, 265, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 512, 265, 689 is 1.

1. What is the GCD of 735, 512, 265, 689?

GCD of given numbers 735, 512, 265, 689 is 1

2. How to calculate the greatest common divisor of 735, 512, 265, 689?

We can find the highest common divisor of 735, 512, 265, 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 735, 512, 265, 689 i.e 1.

3. How can I use the GCD of 735, 512, 265, 689Calculator?

Out the numbers 735, 512, 265, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.