GCD of 969, 218, 580, 309 Calculator

Given Input numbers are 969, 218, 580, 309

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (969, 218, 580, 309) = 1.

Given numbers are 969, 218, 580, 309

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 218 are 2 x 109

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 309 are 3 x 103

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

Given numbers are 969, 218, 580, 309

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

Apply this formula for all numbers.

Step1:

LCM(969, 218) = 211242

GCD(969, 218) = ( 969 x 218 ) / 211242

= 969 / 218

= 969

Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 969, 218, 580, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 195, 442, 535
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• GCD of 956, 434, 344, 832
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• GCD of 691, 780, 770, 337

Given numbers are 969, 218, 580, 309
The greatest common divisor of numbers 969, 218, 580, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 218, 580, 309 is 1.

1. What is the GCD of 969, 218, 580, 309?

GCD of given numbers 969, 218, 580, 309 is 1

2. How to calculate the greatest common divisor of 969, 218, 580, 309?

We can find the highest common divisor of 969, 218, 580, 309 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, 218, 580, 309 i.e 1.

3. How can I use the GCD of 969, 218, 580, 309Calculator?

Out the numbers 969, 218, 580, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.