GCD of 524, 378, 74, 505 Calculator

Given Input numbers are 524, 378, 74, 505

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 524, 378, 74, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 378, 74, 505 is 1.

Therefore, GCD of numbers 524, 378, 74, 505 is 1

Given Input Data is 524, 378, 74, 505

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

Prime Factorization of 524 is 2 x 2 x 131

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 505 is 5 x 101

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(524, 378) = 99036

GCD(524, 378) = ( 524 x 378 ) / 99036

GCD(524, 378) = 198072 / 99036

GCD(524, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 524, 378, 74, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 460, 33, 111
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• GCD of 674, 790, 48, 143
• GCD of 254, 612, 79, 902
• GCD of 810, 909, 48, 322

1. What is the GCD of 524, 378, 74, 505?

GCD of 524, 378, 74, 505 is 1

2. Where do I get the detailed procedure to find GCD of 524, 378, 74, 505?

You can find a detailed procedure to find GCD of 524, 378, 74, 505 on our page.

3. How to find GCD of 524, 378, 74, 505 on a calculator?

You can find the GCD of 524, 378, 74, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.