GCD of 253, 689, 960, 961 Calculator

Given Input numbers are 253, 689, 960, 961

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (253, 689, 960, 961) = 1.

Given numbers are 253, 689, 960, 961

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 689 are 13 x 53

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 961 are 31 x 31

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

Given numbers are 253, 689, 960, 961

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

Apply this formula for all numbers.

Step1:

LCM(253, 689) = 174317

GCD(253, 689) = ( 253 x 689 ) / 174317

= 253 / 689

= 253

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 253, 689, 960, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 420, 838, 756
• GCD of 697, 772, 830, 569
• GCD of 315, 427, 680, 164
• GCD of 518, 432, 357, 585
• GCD of 194, 704, 725, 363

Given numbers are 253, 689, 960, 961
The greatest common divisor of numbers 253, 689, 960, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 689, 960, 961 is 1.

1. What is the GCD of 253, 689, 960, 961?

GCD of given numbers 253, 689, 960, 961 is 1

2. How to calculate the greatest common divisor of 253, 689, 960, 961?

We can find the highest common divisor of 253, 689, 960, 961 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 253, 689, 960, 961 i.e 1.

3. How can I use the GCD of 253, 689, 960, 961Calculator?

Out the numbers 253, 689, 960, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.