GCD of 567, 921, 105, 689 Calculator

Given Input numbers are 567, 921, 105, 689

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 (567, 921, 105, 689) = 1.

Given numbers are 567, 921, 105, 689

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 921 are 3 x 307

Prime factors of 105 are 3 x 5 x 7

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 567, 921, 105, 689

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

Apply this formula for all numbers.

Step1:

LCM(567, 921) = 174069

GCD(567, 921) = ( 567 x 921 ) / 174069

= 567 / 921

= 567

Step2:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3

Step3:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

So, Greatest Common Divisor of 567, 921, 105, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 906, 704, 501
• GCD of 454, 866, 687, 184
• GCD of 983, 265, 333, 144
• GCD of 949, 512, 213, 277
• GCD of 861, 621, 264, 598

Given numbers are 567, 921, 105, 689
The greatest common divisor of numbers 567, 921, 105, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 921, 105, 689 is 1.

1. What is the GCD of 567, 921, 105, 689?

GCD of given numbers 567, 921, 105, 689 is 1

2. How to calculate the greatest common divisor of 567, 921, 105, 689?

We can find the highest common divisor of 567, 921, 105, 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 567, 921, 105, 689 i.e 1.

3. How can I use the GCD of 567, 921, 105, 689Calculator?

Out the numbers 567, 921, 105, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.