GCD of 969, 649, 306, 320 Calculator

Given Input numbers are 969, 649, 306, 320

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 (969, 649, 306, 320) = 1.

Given numbers are 969, 649, 306, 320

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 649 are 11 x 59

Prime factors of 306 are 2 x 3 x 3 x 17

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 969, 649, 306, 320

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

Apply this formula for all numbers.

Step1:

LCM(969, 649) = 628881

GCD(969, 649) = ( 969 x 649 ) / 628881

= 969 / 649

= 969

Step2:

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

= 1 / 306

= 1

Step3:

LCM(1, 320) = 320

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

= 1 / 320

= 1

So, Greatest Common Divisor of 969, 649, 306, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 115, 574, 606
• GCD of 159, 366, 111, 251
• GCD of 497, 955, 209, 437
• GCD of 931, 194, 476, 261
• GCD of 265, 454, 465, 444

Given numbers are 969, 649, 306, 320
The greatest common divisor of numbers 969, 649, 306, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 649, 306, 320 is 1.

1. What is the GCD of 969, 649, 306, 320?

GCD of given numbers 969, 649, 306, 320 is 1

2. How to calculate the greatest common divisor of 969, 649, 306, 320?

We can find the highest common divisor of 969, 649, 306, 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 969, 649, 306, 320 i.e 1.

3. How can I use the GCD of 969, 649, 306, 320Calculator?

Out the numbers 969, 649, 306, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.