GCD of 961, 289, 561, 440 Calculator

Given Input numbers are 961, 289, 561, 440

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

Divisors of 961 :

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

1, 31, 961

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (961, 289, 561, 440) = 1.

Given numbers are 961, 289, 561, 440

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 289 are 17 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 961, 289, 561, 440

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

Apply this formula for all numbers.

Step1:

LCM(961, 289) = 277729

GCD(961, 289) = ( 961 x 289 ) / 277729

= 961 / 289

= 961

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 961, 289, 561, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 250, 337, 184
• GCD of 572, 882, 808, 909
• GCD of 548, 943, 359, 726
• GCD of 837, 343, 975, 627
• GCD of 950, 733, 991, 964

Given numbers are 961, 289, 561, 440
The greatest common divisor of numbers 961, 289, 561, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 289, 561, 440 is 1.

1. What is the GCD of 961, 289, 561, 440?

GCD of given numbers 961, 289, 561, 440 is 1

2. How to calculate the greatest common divisor of 961, 289, 561, 440?

We can find the highest common divisor of 961, 289, 561, 440 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 961, 289, 561, 440 i.e 1.

3. How can I use the GCD of 961, 289, 561, 440Calculator?

Out the numbers 961, 289, 561, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.