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GCD of 966, 765, 749, 399 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 765, 749, 399 quickly. Get the easiest ways to solve the greatest common divisor of 966, 765, 749, 399 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 765, 749, 399 with Factoring?

Given Input numbers are 966, 765, 749, 399

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

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399


GCD of numbers is the greatest common divisor

So, the GCD (966, 765, 749, 399) = 1.

Find GCD of 966, 765, 749, 399 using Prime Factorization

Given numbers are 966, 765, 749, 399

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 749 are 7 x 107

Prime factors of 399 are 3 x 7 x 19

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

Steps to Calculate GCD of 966, 765, 749, 399 using LCM Formula

Given numbers are 966, 765, 749, 399

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

Apply this formula for all numbers.

Step1:

LCM(966, 765) = 246330

GCD(966, 765) = ( 966 x 765 ) / 246330

= 966 / 765

= 966


Step2:

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

= 3 / 749

= 3


Step3:

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

= 1 / 399

= 1


So, Greatest Common Divisor of 966, 765, 749, 399 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 765, 749, 399

Given numbers are 966, 765, 749, 399
The greatest common divisor of numbers 966, 765, 749, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 765, 749, 399 is 1.

FAQs on GCD of 966, 765, 749, 399 Calculator

1. What is the GCD of 966, 765, 749, 399?

GCD of given numbers 966, 765, 749, 399 is 1


2. How to calculate the greatest common divisor of 966, 765, 749, 399?

We can find the highest common divisor of 966, 765, 749, 399 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 966, 765, 749, 399 i.e 1.


3. How can I use the GCD of 966, 765, 749, 399Calculator?

Out the numbers 966, 765, 749, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.