GCD of 364, 518, 35, 292 Calculator

Given Input numbers are 364, 518, 35, 292

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 364, 518, 35, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 518, 35, 292 is 1.

Therefore, GCD of numbers 364, 518, 35, 292 is 1

Given Input Data is 364, 518, 35, 292

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 35 is 5 x 7

Prime Factorization of 292 is 2 x 2 x 73

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(364, 518) = 13468

GCD(364, 518) = ( 364 x 518 ) / 13468

GCD(364, 518) = 188552 / 13468

GCD(364, 518) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 35

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

LCM(14, 35) = 70

GCD(14, 35) = ( 14 x 35 ) / 70

GCD(14, 35) = 490 / 70

GCD(14, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 292

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

LCM(7, 292) = 2044

GCD(7, 292) = ( 7 x 292 ) / 2044

GCD(7, 292) = 2044 / 2044

GCD(7, 292) = 1

GCD of 364, 518, 35, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 696, 61, 758
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• GCD of 396, 137, 26, 332
• GCD of 950, 361, 92, 538
• GCD of 253, 451, 63, 583

1. What is the GCD of 364, 518, 35, 292?

GCD of 364, 518, 35, 292 is 1

2. Where do I get the detailed procedure to find GCD of 364, 518, 35, 292?

You can find a detailed procedure to find GCD of 364, 518, 35, 292 on our page.

3. How to find GCD of 364, 518, 35, 292 on a calculator?

You can find the GCD of 364, 518, 35, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.