LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 821, 969, 549, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 821, 969, 549, 653 quickly. Get the easiest ways to solve the greatest common divisor of 821, 969, 549, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 969, 549, 653 with Factoring?

Given Input numbers are 821, 969, 549, 653

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 969 :

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

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (821, 969, 549, 653) = 1.

Find GCD of 821, 969, 549, 653 using Prime Factorization

Given numbers are 821, 969, 549, 653

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 969 are 3 x 17 x 19

Prime factors of 549 are 3 x 3 x 61

Prime factors of 653 are 653

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

Steps to Calculate GCD of 821, 969, 549, 653 using LCM Formula

Given numbers are 821, 969, 549, 653

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

Apply this formula for all numbers.

Step1:

LCM(821, 969) = 795549

GCD(821, 969) = ( 821 x 969 ) / 795549

= 821 / 969

= 821


Step2:

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

= 1 / 549

= 1


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 821, 969, 549, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 969, 549, 653

Given numbers are 821, 969, 549, 653
The greatest common divisor of numbers 821, 969, 549, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 969, 549, 653 is 1.

FAQs on GCD of 821, 969, 549, 653 Calculator

1. What is the GCD of 821, 969, 549, 653?

GCD of given numbers 821, 969, 549, 653 is 1


2. How to calculate the greatest common divisor of 821, 969, 549, 653?

We can find the highest common divisor of 821, 969, 549, 653 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 821, 969, 549, 653 i.e 1.


3. How can I use the GCD of 821, 969, 549, 653Calculator?

Out the numbers 821, 969, 549, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.