GCD of 374, 546, 478, 357 Calculator

Given Input numbers are 374, 546, 478, 357

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 374, 546, 478, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 546, 478, 357 is 1.

Therefore, GCD of numbers 374, 546, 478, 357 is 1

Given Input Data is 374, 546, 478, 357

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 478 is 2 x 239

Prime Factorization of 357 is 3 x 7 x 17

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(374, 546) = 102102

GCD(374, 546) = ( 374 x 546 ) / 102102

GCD(374, 546) = 204204 / 102102

GCD(374, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 374, 546, 478, 357 is 1

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1. What is the GCD of 374, 546, 478, 357?

GCD of 374, 546, 478, 357 is 1

2. Where do I get the detailed procedure to find GCD of 374, 546, 478, 357?

You can find a detailed procedure to find GCD of 374, 546, 478, 357 on our page.

3. How to find GCD of 374, 546, 478, 357 on a calculator?

You can find the GCD of 374, 546, 478, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.