GCD of 289, 322, 770, 320 Calculator

Given Input numbers are 289, 322, 770, 320

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

Divisors of 289 :

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

1, 17, 289

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (289, 322, 770, 320) = 1.

Given numbers are 289, 322, 770, 320

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 322 are 2 x 7 x 23

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 289, 322, 770, 320

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

Apply this formula for all numbers.

Step1:

LCM(289, 322) = 93058

GCD(289, 322) = ( 289 x 322 ) / 93058

= 289 / 322

= 289

Step2:

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

= 1 / 770

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 289, 322, 770, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 621, 131, 635
• GCD of 178, 469, 548, 922
• GCD of 892, 200, 614, 803
• GCD of 642, 268, 412, 773
• GCD of 844, 529, 904, 230

Given numbers are 289, 322, 770, 320
The greatest common divisor of numbers 289, 322, 770, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 322, 770, 320 is 1.

1. What is the GCD of 289, 322, 770, 320?

GCD of given numbers 289, 322, 770, 320 is 1

2. How to calculate the greatest common divisor of 289, 322, 770, 320?

We can find the highest common divisor of 289, 322, 770, 320 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 289, 322, 770, 320 i.e 1.

3. How can I use the GCD of 289, 322, 770, 320Calculator?

Out the numbers 289, 322, 770, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.