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GCD of 600, 452, 396, 775 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 600, 452, 396, 775 quickly. Get the easiest ways to solve the greatest common divisor of 600, 452, 396, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 452, 396, 775 with Factoring?

Given Input numbers are 600, 452, 396, 775

In the factoring method, we have to find the divisors of all numbers

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (600, 452, 396, 775) = 1.

Find GCD of 600, 452, 396, 775 using Prime Factorization

Given numbers are 600, 452, 396, 775

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 452 are 2 x 2 x 113

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 775 are 5 x 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 600, 452, 396, 775 using LCM Formula

Given numbers are 600, 452, 396, 775

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(600, 452) = 67800

GCD(600, 452) = ( 600 x 452 ) / 67800

= 600 / 452

= 600


Step2:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4


Step3:

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

= 4 / 775

= 4


So, Greatest Common Divisor of 600, 452, 396, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 452, 396, 775

Given numbers are 600, 452, 396, 775
The greatest common divisor of numbers 600, 452, 396, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 452, 396, 775 is 1.

FAQs on GCD of 600, 452, 396, 775 Calculator

1. What is the GCD of 600, 452, 396, 775?

GCD of given numbers 600, 452, 396, 775 is 1


2. How to calculate the greatest common divisor of 600, 452, 396, 775?

We can find the highest common divisor of 600, 452, 396, 775 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 600, 452, 396, 775 i.e 1.


3. How can I use the GCD of 600, 452, 396, 775Calculator?

Out the numbers 600, 452, 396, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.