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GCD of 736, 638, 531, 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 736, 638, 531, 693 quickly. Get the easiest ways to solve the greatest common divisor of 736, 638, 531, 693 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 638, 531, 693 with Factoring?

Given Input numbers are 736, 638, 531, 693

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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 (736, 638, 531, 693) = 1.

Find GCD of 736, 638, 531, 693 using Prime Factorization

Given numbers are 736, 638, 531, 693

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 638 are 2 x 11 x 29

Prime factors of 531 are 3 x 3 x 59

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

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

Steps to Calculate GCD of 736, 638, 531, 693 using LCM Formula

Given numbers are 736, 638, 531, 693

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

Apply this formula for all numbers.

Step1:

LCM(736, 638) = 234784

GCD(736, 638) = ( 736 x 638 ) / 234784

= 736 / 638

= 736


Step2:

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

= 2 / 531

= 2


Step3:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1


So, Greatest Common Divisor of 736, 638, 531, 693 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 638, 531, 693

Given numbers are 736, 638, 531, 693
The greatest common divisor of numbers 736, 638, 531, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 638, 531, 693 is 1.

FAQs on GCD of 736, 638, 531, 693 Calculator

1. What is the GCD of 736, 638, 531, 693?

GCD of given numbers 736, 638, 531, 693 is 1


2. How to calculate the greatest common divisor of 736, 638, 531, 693?

We can find the highest common divisor of 736, 638, 531, 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 736, 638, 531, 693 i.e 1.


3. How can I use the GCD of 736, 638, 531, 693Calculator?

Out the numbers 736, 638, 531, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.