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GCD of 528, 543, 362, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 528, 543, 362, 689 quickly. Get the easiest ways to solve the greatest common divisor of 528, 543, 362, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 543, 362, 689 with Factoring?

Given Input numbers are 528, 543, 362, 689

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (528, 543, 362, 689) = 1.

Find GCD of 528, 543, 362, 689 using Prime Factorization

Given numbers are 528, 543, 362, 689

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 543 are 3 x 181

Prime factors of 362 are 2 x 181

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 528, 543, 362, 689 using LCM Formula

Given numbers are 528, 543, 362, 689

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

Apply this formula for all numbers.

Step1:

LCM(528, 543) = 95568

GCD(528, 543) = ( 528 x 543 ) / 95568

= 528 / 543

= 528


Step2:

LCM(3, 362) = 1086

GCD(3, 362) = ( 3 x 362 ) / 1086

= 3 / 362

= 3


Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


So, Greatest Common Divisor of 528, 543, 362, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 543, 362, 689

Given numbers are 528, 543, 362, 689
The greatest common divisor of numbers 528, 543, 362, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 543, 362, 689 is 1.

FAQs on GCD of 528, 543, 362, 689 Calculator

1. What is the GCD of 528, 543, 362, 689?

GCD of given numbers 528, 543, 362, 689 is 1


2. How to calculate the greatest common divisor of 528, 543, 362, 689?

We can find the highest common divisor of 528, 543, 362, 689 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 528, 543, 362, 689 i.e 1.


3. How can I use the GCD of 528, 543, 362, 689Calculator?

Out the numbers 528, 543, 362, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.