GCD of 689, 920, 75, 303 Calculator

Given Input numbers are 689, 920, 75, 303

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (689, 920, 75, 303) = 1.

Given numbers are 689, 920, 75, 303

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 75 are 3 x 5 x 5

Prime factors of 303 are 3 x 101

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

Given numbers are 689, 920, 75, 303

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

Apply this formula for all numbers.

Step1:

LCM(689, 920) = 633880

GCD(689, 920) = ( 689 x 920 ) / 633880

= 689 / 920

= 689

Step2:

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

= 1 / 75

= 1

Step3:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1

So, Greatest Common Divisor of 689, 920, 75, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 758, 43, 686
• GCD of 280, 759, 28, 565
• GCD of 187, 122, 33, 913
• GCD of 546, 778, 72, 351
• GCD of 787, 412, 81, 854

Given numbers are 689, 920, 75, 303
The greatest common divisor of numbers 689, 920, 75, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 920, 75, 303 is 1.

1. What is the GCD of 689, 920, 75, 303?

GCD of given numbers 689, 920, 75, 303 is 1

2. How to calculate the greatest common divisor of 689, 920, 75, 303?

We can find the highest common divisor of 689, 920, 75, 303 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, 920, 75, 303 i.e 1.

3. How can I use the GCD of 689, 920, 75, 303Calculator?

Out the numbers 689, 920, 75, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.