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GCD of 352, 605, 408, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 605, 408, 792 quickly. Get the easiest ways to solve the greatest common divisor of 352, 605, 408, 792 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 605, 408, 792 with Factoring?

Given Input numbers are 352, 605, 408, 792

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (352, 605, 408, 792) = 1.

Find GCD of 352, 605, 408, 792 using Prime Factorization

Given numbers are 352, 605, 408, 792

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 605 are 5 x 11 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Steps to Calculate GCD of 352, 605, 408, 792 using LCM Formula

Given numbers are 352, 605, 408, 792

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

Apply this formula for all numbers.

Step1:

LCM(352, 605) = 19360

GCD(352, 605) = ( 352 x 605 ) / 19360

= 352 / 605

= 352


Step2:

LCM(11, 408) = 4488

GCD(11, 408) = ( 11 x 408 ) / 4488

= 11 / 408

= 11


Step3:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1


So, Greatest Common Divisor of 352, 605, 408, 792 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 605, 408, 792

Given numbers are 352, 605, 408, 792
The greatest common divisor of numbers 352, 605, 408, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 605, 408, 792 is 1.

FAQs on GCD of 352, 605, 408, 792 Calculator

1. What is the GCD of 352, 605, 408, 792?

GCD of given numbers 352, 605, 408, 792 is 1


2. How to calculate the greatest common divisor of 352, 605, 408, 792?

We can find the highest common divisor of 352, 605, 408, 792 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 352, 605, 408, 792 i.e 1.


3. How can I use the GCD of 352, 605, 408, 792Calculator?

Out the numbers 352, 605, 408, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.