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GCD of 693, 966, 597, 755 Calculator

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


Online GCD Calculator is useful to find the GCD of 693, 966, 597, 755 quickly. Get the easiest ways to solve the greatest common divisor of 693, 966, 597, 755 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 693, 966, 597, 755 with Factoring?

Given Input numbers are 693, 966, 597, 755

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

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755


GCD of numbers is the greatest common divisor

So, the GCD (693, 966, 597, 755) = 1.

Find GCD of 693, 966, 597, 755 using Prime Factorization

Given numbers are 693, 966, 597, 755

The list of prime factors of all numbers are

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

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 597 are 3 x 199

Prime factors of 755 are 5 x 151

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

Steps to Calculate GCD of 693, 966, 597, 755 using LCM Formula

Given numbers are 693, 966, 597, 755

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

Apply this formula for all numbers.

Step1:

LCM(693, 966) = 31878

GCD(693, 966) = ( 693 x 966 ) / 31878

= 693 / 966

= 693


Step2:

LCM(21, 597) = 4179

GCD(21, 597) = ( 21 x 597 ) / 4179

= 21 / 597

= 21


Step3:

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

= 3 / 755

= 3


So, Greatest Common Divisor of 693, 966, 597, 755 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 693, 966, 597, 755

Given numbers are 693, 966, 597, 755
The greatest common divisor of numbers 693, 966, 597, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 966, 597, 755 is 1.

FAQs on GCD of 693, 966, 597, 755 Calculator

1. What is the GCD of 693, 966, 597, 755?

GCD of given numbers 693, 966, 597, 755 is 1


2. How to calculate the greatest common divisor of 693, 966, 597, 755?

We can find the highest common divisor of 693, 966, 597, 755 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 693, 966, 597, 755 i.e 1.


3. How can I use the GCD of 693, 966, 597, 755Calculator?

Out the numbers 693, 966, 597, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.