GCD of 689, 144, 961, 448 Calculator

Given Input numbers are 689, 144, 961, 448

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 961 :

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

1, 31, 961

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (689, 144, 961, 448) = 1.

Given numbers are 689, 144, 961, 448

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 961 are 31 x 31

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 689, 144, 961, 448

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

Apply this formula for all numbers.

Step1:

LCM(689, 144) = 99216

GCD(689, 144) = ( 689 x 144 ) / 99216

= 689 / 144

= 689

Step2:

LCM(1, 961) = 961

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

= 1 / 961

= 1

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 689, 144, 961, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 586, 806, 469
• GCD of 647, 234, 935, 241
• GCD of 488, 864, 193, 192
• GCD of 669, 576, 331, 618
• GCD of 386, 909, 523, 720

Given numbers are 689, 144, 961, 448
The greatest common divisor of numbers 689, 144, 961, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 144, 961, 448 is 1.

1. What is the GCD of 689, 144, 961, 448?

GCD of given numbers 689, 144, 961, 448 is 1

2. How to calculate the greatest common divisor of 689, 144, 961, 448?

We can find the highest common divisor of 689, 144, 961, 448 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, 144, 961, 448 i.e 1.

3. How can I use the GCD of 689, 144, 961, 448Calculator?

Out the numbers 689, 144, 961, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.