GCD of 892, 574, 51, 338 Calculator

Given Input numbers are 892, 574, 51, 338

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 892, 574, 51, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 574, 51, 338 is 1.

Therefore, GCD of numbers 892, 574, 51, 338 is 1

Given Input Data is 892, 574, 51, 338

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 51 is 3 x 17

Prime Factorization of 338 is 2 x 13 x 13

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(892, 574) = 256004

GCD(892, 574) = ( 892 x 574 ) / 256004

GCD(892, 574) = 512008 / 256004

GCD(892, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 892, 574, 51, 338 is 1

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• GCD of 707, 249, 31, 238
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1. What is the GCD of 892, 574, 51, 338?

GCD of 892, 574, 51, 338 is 1

2. Where do I get the detailed procedure to find GCD of 892, 574, 51, 338?

You can find a detailed procedure to find GCD of 892, 574, 51, 338 on our page.

3. How to find GCD of 892, 574, 51, 338 on a calculator?

You can find the GCD of 892, 574, 51, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.