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GCD of 711, 537, 369, 693 Calculator

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


Online GCD Calculator is useful to find the GCD of 711, 537, 369, 693 quickly. Get the easiest ways to solve the greatest common divisor of 711, 537, 369, 693 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 537, 369, 693 with Factoring?

Given Input numbers are 711, 537, 369, 693

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693


GCD of numbers is the greatest common divisor

So, the GCD (711, 537, 369, 693) = 3.

Find GCD of 711, 537, 369, 693 using Prime Factorization

Given numbers are 711, 537, 369, 693

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 537 are 3 x 179

Prime factors of 369 are 3 x 3 x 41

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 31

Therefore, GCD of 711, 537, 369, 693 is 3.

Steps to Calculate GCD of 711, 537, 369, 693 using LCM Formula

Given numbers are 711, 537, 369, 693

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

Apply this formula for all numbers.

Step1:

LCM(711, 537) = 127269

GCD(711, 537) = ( 711 x 537 ) / 127269

= 711 / 537

= 711


Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3


Step3:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3


So, Greatest Common Divisor of 711, 537, 369, 693 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 537, 369, 693

Given numbers are 711, 537, 369, 693
The greatest common divisor of numbers 711, 537, 369, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 537, 369, 693 is 3.

FAQs on GCD of 711, 537, 369, 693 Calculator

1. What is the GCD of 711, 537, 369, 693?

GCD of given numbers 711, 537, 369, 693 is 3


2. How to calculate the greatest common divisor of 711, 537, 369, 693?

We can find the highest common divisor of 711, 537, 369, 693 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 711, 537, 369, 693 i.e 3.


3. How can I use the GCD of 711, 537, 369, 693Calculator?

Out the numbers 711, 537, 369, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.