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GCD of 369, 503, 644, 762 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, 503, 644, 762 quickly. Get the easiest ways to solve the greatest common divisor of 369, 503, 644, 762 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 503, 644, 762 with Factoring?

Given Input numbers are 369, 503, 644, 762

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 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762


GCD of numbers is the greatest common divisor

So, the GCD (369, 503, 644, 762) = 1.

Find GCD of 369, 503, 644, 762 using Prime Factorization

Given numbers are 369, 503, 644, 762

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 503 are 503

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 762 are 2 x 3 x 127

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

Steps to Calculate GCD of 369, 503, 644, 762 using LCM Formula

Given numbers are 369, 503, 644, 762

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

Apply this formula for all numbers.

Step1:

LCM(369, 503) = 185607

GCD(369, 503) = ( 369 x 503 ) / 185607

= 369 / 503

= 369


Step2:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1


Step3:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1


So, Greatest Common Divisor of 369, 503, 644, 762 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 503, 644, 762

Given numbers are 369, 503, 644, 762
The greatest common divisor of numbers 369, 503, 644, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 503, 644, 762 is 1.

FAQs on GCD of 369, 503, 644, 762 Calculator

1. What is the GCD of 369, 503, 644, 762?

GCD of given numbers 369, 503, 644, 762 is 1


2. How to calculate the greatest common divisor of 369, 503, 644, 762?

We can find the highest common divisor of 369, 503, 644, 762 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, 503, 644, 762 i.e 1.


3. How can I use the GCD of 369, 503, 644, 762Calculator?

Out the numbers 369, 503, 644, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.