GCD of 378, 762, 520, 453 Calculator

Given Input numbers are 378, 762, 520, 453

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 378, 762, 520, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 762, 520, 453 is 1.

Therefore, GCD of numbers 378, 762, 520, 453 is 1

Given Input Data is 378, 762, 520, 453

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 453 is 3 x 151

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(378, 762) = 48006

GCD(378, 762) = ( 378 x 762 ) / 48006

GCD(378, 762) = 288036 / 48006

GCD(378, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 520

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

LCM(6, 520) = 1560

GCD(6, 520) = ( 6 x 520 ) / 1560

GCD(6, 520) = 3120 / 1560

GCD(6, 520) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

GCD of 378, 762, 520, 453 is 1

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1. What is the GCD of 378, 762, 520, 453?

GCD of 378, 762, 520, 453 is 1

2. Where do I get the detailed procedure to find GCD of 378, 762, 520, 453?

You can find a detailed procedure to find GCD of 378, 762, 520, 453 on our page.

3. How to find GCD of 378, 762, 520, 453 on a calculator?

You can find the GCD of 378, 762, 520, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.