GCD of 513, 299, 969, 309 Calculator

Given Input numbers are 513, 299, 969, 309

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 969 :

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

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

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 (513, 299, 969, 309) = 1.

Given numbers are 513, 299, 969, 309

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 299 are 13 x 23

Prime factors of 969 are 3 x 17 x 19

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 513, 299, 969, 309

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

Apply this formula for all numbers.

Step1:

LCM(513, 299) = 153387

GCD(513, 299) = ( 513 x 299 ) / 153387

= 513 / 299

= 513

Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

Step3:

LCM(1, 309) = 309

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

= 1 / 309

= 1

So, Greatest Common Divisor of 513, 299, 969, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 208, 176, 709
• GCD of 109, 472, 808, 619
• GCD of 143, 740, 448, 887
• GCD of 578, 527, 461, 118
• GCD of 316, 190, 550, 341

Given numbers are 513, 299, 969, 309
The greatest common divisor of numbers 513, 299, 969, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 299, 969, 309 is 1.

1. What is the GCD of 513, 299, 969, 309?

GCD of given numbers 513, 299, 969, 309 is 1

2. How to calculate the greatest common divisor of 513, 299, 969, 309?

We can find the highest common divisor of 513, 299, 969, 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 513, 299, 969, 309 i.e 1.

3. How can I use the GCD of 513, 299, 969, 309Calculator?

Out the numbers 513, 299, 969, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.