GCD of 361, 765, 338, 632 Calculator

Given Input numbers are 361, 765, 338, 632

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 361, 765, 338, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 765, 338, 632 is 1.

Therefore, GCD of numbers 361, 765, 338, 632 is 1

Given Input Data is 361, 765, 338, 632

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(361, 765) = 276165

GCD(361, 765) = ( 361 x 765 ) / 276165

GCD(361, 765) = 276165 / 276165

GCD(361, 765) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 361, 765, 338, 632 is 1

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1. What is the GCD of 361, 765, 338, 632?

GCD of 361, 765, 338, 632 is 1

2. Where do I get the detailed procedure to find GCD of 361, 765, 338, 632?

You can find a detailed procedure to find GCD of 361, 765, 338, 632 on our page.

3. How to find GCD of 361, 765, 338, 632 on a calculator?

You can find the GCD of 361, 765, 338, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.