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GCD of 369, 989, 915, 765 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 989, 915, 765 quickly. Get the easiest ways to solve the greatest common divisor of 369, 989, 915, 765 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 989, 915, 765 with Factoring?

Given Input numbers are 369, 989, 915, 765

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

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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


GCD of numbers is the greatest common divisor

So, the GCD (369, 989, 915, 765) = 1.

Find GCD of 369, 989, 915, 765 using Prime Factorization

Given numbers are 369, 989, 915, 765

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 989 are 23 x 43

Prime factors of 915 are 3 x 5 x 61

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

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

Steps to Calculate GCD of 369, 989, 915, 765 using LCM Formula

Given numbers are 369, 989, 915, 765

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

Apply this formula for all numbers.

Step1:

LCM(369, 989) = 364941

GCD(369, 989) = ( 369 x 989 ) / 364941

= 369 / 989

= 369


Step2:

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

= 1 / 915

= 1


Step3:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1


So, Greatest Common Divisor of 369, 989, 915, 765 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 989, 915, 765

Given numbers are 369, 989, 915, 765
The greatest common divisor of numbers 369, 989, 915, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 989, 915, 765 is 1.

FAQs on GCD of 369, 989, 915, 765 Calculator

1. What is the GCD of 369, 989, 915, 765?

GCD of given numbers 369, 989, 915, 765 is 1


2. How to calculate the greatest common divisor of 369, 989, 915, 765?

We can find the highest common divisor of 369, 989, 915, 765 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 369, 989, 915, 765 i.e 1.


3. How can I use the GCD of 369, 989, 915, 765Calculator?

Out the numbers 369, 989, 915, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.