GCD of 343, 964, 580, 512 Calculator

Given Input numbers are 343, 964, 580, 512

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 343, 964, 580, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 964, 580, 512 is 1.

Therefore, GCD of numbers 343, 964, 580, 512 is 1

Given Input Data is 343, 964, 580, 512

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(343, 964) = 330652

GCD(343, 964) = ( 343 x 964 ) / 330652

GCD(343, 964) = 330652 / 330652

GCD(343, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

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

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 343, 964, 580, 512 is 1

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• GCD of 821, 942, 757, 400
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1. What is the GCD of 343, 964, 580, 512?

GCD of 343, 964, 580, 512 is 1

2. Where do I get the detailed procedure to find GCD of 343, 964, 580, 512?

You can find a detailed procedure to find GCD of 343, 964, 580, 512 on our page.

3. How to find GCD of 343, 964, 580, 512 on a calculator?

You can find the GCD of 343, 964, 580, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.