GCD of 408, 252, 917, 377 Calculator

Given Input numbers are 408, 252, 917, 377

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 408, 252, 917, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 252, 917, 377 is 1.

Therefore, GCD of numbers 408, 252, 917, 377 is 1

Given Input Data is 408, 252, 917, 377

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 917 is 7 x 131

Prime Factorization of 377 is 13 x 29

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(408, 252) = 8568

GCD(408, 252) = ( 408 x 252 ) / 8568

GCD(408, 252) = 102816 / 8568

GCD(408, 252) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 917

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

LCM(12, 917) = 11004

GCD(12, 917) = ( 12 x 917 ) / 11004

GCD(12, 917) = 11004 / 11004

GCD(12, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 408, 252, 917, 377 is 1

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• GCD of 856, 814, 624, 592
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1. What is the GCD of 408, 252, 917, 377?

GCD of 408, 252, 917, 377 is 1

2. Where do I get the detailed procedure to find GCD of 408, 252, 917, 377?

You can find a detailed procedure to find GCD of 408, 252, 917, 377 on our page.

3. How to find GCD of 408, 252, 917, 377 on a calculator?

You can find the GCD of 408, 252, 917, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.