GCD of 689, 704, 275, 323 Calculator

Given Input numbers are 689, 704, 275, 323

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (689, 704, 275, 323) = 1.

Given numbers are 689, 704, 275, 323

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 275 are 5 x 5 x 11

Prime factors of 323 are 17 x 19

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

Given numbers are 689, 704, 275, 323

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

Apply this formula for all numbers.

Step1:

LCM(689, 704) = 485056

GCD(689, 704) = ( 689 x 704 ) / 485056

= 689 / 704

= 689

Step2:

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

= 1 / 275

= 1

Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

So, Greatest Common Divisor of 689, 704, 275, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 134, 891, 221
• GCD of 640, 868, 599, 448
• GCD of 293, 169, 274, 861
• GCD of 666, 819, 393, 941
• GCD of 667, 386, 844, 304

Given numbers are 689, 704, 275, 323
The greatest common divisor of numbers 689, 704, 275, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 704, 275, 323 is 1.

1. What is the GCD of 689, 704, 275, 323?

GCD of given numbers 689, 704, 275, 323 is 1

2. How to calculate the greatest common divisor of 689, 704, 275, 323?

We can find the highest common divisor of 689, 704, 275, 323 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, 704, 275, 323 i.e 1.

3. How can I use the GCD of 689, 704, 275, 323Calculator?

Out the numbers 689, 704, 275, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.