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GCD of 738, 649, 736, 966 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 649, 736, 966 quickly. Get the easiest ways to solve the greatest common divisor of 738, 649, 736, 966 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 649, 736, 966 with Factoring?

Given Input numbers are 738, 649, 736, 966

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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 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


GCD of numbers is the greatest common divisor

So, the GCD (738, 649, 736, 966) = 1.

Find GCD of 738, 649, 736, 966 using Prime Factorization

Given numbers are 738, 649, 736, 966

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 649 are 11 x 59

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

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

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

Steps to Calculate GCD of 738, 649, 736, 966 using LCM Formula

Given numbers are 738, 649, 736, 966

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

Apply this formula for all numbers.

Step1:

LCM(738, 649) = 478962

GCD(738, 649) = ( 738 x 649 ) / 478962

= 738 / 649

= 738


Step2:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1


Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1


So, Greatest Common Divisor of 738, 649, 736, 966 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 649, 736, 966

Given numbers are 738, 649, 736, 966
The greatest common divisor of numbers 738, 649, 736, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 649, 736, 966 is 1.

FAQs on GCD of 738, 649, 736, 966 Calculator

1. What is the GCD of 738, 649, 736, 966?

GCD of given numbers 738, 649, 736, 966 is 1


2. How to calculate the greatest common divisor of 738, 649, 736, 966?

We can find the highest common divisor of 738, 649, 736, 966 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 738, 649, 736, 966 i.e 1.


3. How can I use the GCD of 738, 649, 736, 966Calculator?

Out the numbers 738, 649, 736, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.