GCD of 961, 424, 99, 289 Calculator

Given Input numbers are 961, 424, 99, 289

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 289 :

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

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (961, 424, 99, 289) = 1.

Given numbers are 961, 424, 99, 289

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 99 are 3 x 3 x 11

Prime factors of 289 are 17 x 17

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

Given numbers are 961, 424, 99, 289

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

Apply this formula for all numbers.

Step1:

LCM(961, 424) = 407464

GCD(961, 424) = ( 961 x 424 ) / 407464

= 961 / 424

= 961

Step2:

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

= 1 / 99

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 961, 424, 99, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 767, 25, 487
• GCD of 334, 758, 14, 644
• GCD of 869, 148, 51, 752
• GCD of 677, 333, 78, 864
• GCD of 781, 783, 79, 662

Given numbers are 961, 424, 99, 289
The greatest common divisor of numbers 961, 424, 99, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 424, 99, 289 is 1.

1. What is the GCD of 961, 424, 99, 289?

GCD of given numbers 961, 424, 99, 289 is 1

2. How to calculate the greatest common divisor of 961, 424, 99, 289?

We can find the highest common divisor of 961, 424, 99, 289 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, 424, 99, 289 i.e 1.

3. How can I use the GCD of 961, 424, 99, 289Calculator?

Out the numbers 961, 424, 99, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.