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GCD of 165, 356, 969, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 165, 356, 969, 432 quickly. Get the easiest ways to solve the greatest common divisor of 165, 356, 969, 432 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 356, 969, 432 with Factoring?

Given Input numbers are 165, 356, 969, 432

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (165, 356, 969, 432) = 1.

Find GCD of 165, 356, 969, 432 using Prime Factorization

Given numbers are 165, 356, 969, 432

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 356 are 2 x 2 x 89

Prime factors of 969 are 3 x 17 x 19

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 165, 356, 969, 432 using LCM Formula

Given numbers are 165, 356, 969, 432

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

Apply this formula for all numbers.

Step1:

LCM(165, 356) = 58740

GCD(165, 356) = ( 165 x 356 ) / 58740

= 165 / 356

= 165


Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1


Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1


So, Greatest Common Divisor of 165, 356, 969, 432 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 356, 969, 432

Given numbers are 165, 356, 969, 432
The greatest common divisor of numbers 165, 356, 969, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 356, 969, 432 is 1.

FAQs on GCD of 165, 356, 969, 432 Calculator

1. What is the GCD of 165, 356, 969, 432?

GCD of given numbers 165, 356, 969, 432 is 1


2. How to calculate the greatest common divisor of 165, 356, 969, 432?

We can find the highest common divisor of 165, 356, 969, 432 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 165, 356, 969, 432 i.e 1.


3. How can I use the GCD of 165, 356, 969, 432Calculator?

Out the numbers 165, 356, 969, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.