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GCD of 969, 432, 183, 771 Calculator

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


Online GCD Calculator is useful to find the GCD of 969, 432, 183, 771 quickly. Get the easiest ways to solve the greatest common divisor of 969, 432, 183, 771 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 432, 183, 771 with Factoring?

Given Input numbers are 969, 432, 183, 771

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

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

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (969, 432, 183, 771) = 3.

Find GCD of 969, 432, 183, 771 using Prime Factorization

Given numbers are 969, 432, 183, 771

The list of prime factors of all numbers are

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

Prime factors of 183 are 3 x 61

Prime factors of 771 are 3 x 257

The highest common occurrence is 31

Therefore, GCD of 969, 432, 183, 771 is 3.

Steps to Calculate GCD of 969, 432, 183, 771 using LCM Formula

Given numbers are 969, 432, 183, 771

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

Apply this formula for all numbers.

Step1:

LCM(969, 432) = 139536

GCD(969, 432) = ( 969 x 432 ) / 139536

= 969 / 432

= 969


Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3


Step3:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3


So, Greatest Common Divisor of 969, 432, 183, 771 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 432, 183, 771

Given numbers are 969, 432, 183, 771
The greatest common divisor of numbers 969, 432, 183, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 432, 183, 771 is 3.

FAQs on GCD of 969, 432, 183, 771 Calculator

1. What is the GCD of 969, 432, 183, 771?

GCD of given numbers 969, 432, 183, 771 is 3


2. How to calculate the greatest common divisor of 969, 432, 183, 771?

We can find the highest common divisor of 969, 432, 183, 771 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 969, 432, 183, 771 i.e 3.


3. How can I use the GCD of 969, 432, 183, 771Calculator?

Out the numbers 969, 432, 183, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.