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GCD of 969, 483, 724, 820 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, 483, 724, 820 quickly. Get the easiest ways to solve the greatest common divisor of 969, 483, 724, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 483, 724, 820 with Factoring?

Given Input numbers are 969, 483, 724, 820

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 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (969, 483, 724, 820) = 1.

Find GCD of 969, 483, 724, 820 using Prime Factorization

Given numbers are 969, 483, 724, 820

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 483 are 3 x 7 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 969, 483, 724, 820 using LCM Formula

Given numbers are 969, 483, 724, 820

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

Apply this formula for all numbers.

Step1:

LCM(969, 483) = 156009

GCD(969, 483) = ( 969 x 483 ) / 156009

= 969 / 483

= 969


Step2:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 969, 483, 724, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 483, 724, 820

Given numbers are 969, 483, 724, 820
The greatest common divisor of numbers 969, 483, 724, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 483, 724, 820 is 1.

FAQs on GCD of 969, 483, 724, 820 Calculator

1. What is the GCD of 969, 483, 724, 820?

GCD of given numbers 969, 483, 724, 820 is 1


2. How to calculate the greatest common divisor of 969, 483, 724, 820?

We can find the highest common divisor of 969, 483, 724, 820 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, 483, 724, 820 i.e 1.


3. How can I use the GCD of 969, 483, 724, 820Calculator?

Out the numbers 969, 483, 724, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.