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GCD of 210, 765, 363, 838 Calculator

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


Online GCD Calculator is useful to find the GCD of 210, 765, 363, 838 quickly. Get the easiest ways to solve the greatest common divisor of 210, 765, 363, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 210, 765, 363, 838 with Factoring?

Given Input numbers are 210, 765, 363, 838

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (210, 765, 363, 838) = 1.

Find GCD of 210, 765, 363, 838 using Prime Factorization

Given numbers are 210, 765, 363, 838

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 838 are 2 x 419

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

Steps to Calculate GCD of 210, 765, 363, 838 using LCM Formula

Given numbers are 210, 765, 363, 838

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

Apply this formula for all numbers.

Step1:

LCM(210, 765) = 10710

GCD(210, 765) = ( 210 x 765 ) / 10710

= 210 / 765

= 210


Step2:

LCM(15, 363) = 1815

GCD(15, 363) = ( 15 x 363 ) / 1815

= 15 / 363

= 15


Step3:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3


So, Greatest Common Divisor of 210, 765, 363, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 210, 765, 363, 838

Given numbers are 210, 765, 363, 838
The greatest common divisor of numbers 210, 765, 363, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 765, 363, 838 is 1.

FAQs on GCD of 210, 765, 363, 838 Calculator

1. What is the GCD of 210, 765, 363, 838?

GCD of given numbers 210, 765, 363, 838 is 1


2. How to calculate the greatest common divisor of 210, 765, 363, 838?

We can find the highest common divisor of 210, 765, 363, 838 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 210, 765, 363, 838 i.e 1.


3. How can I use the GCD of 210, 765, 363, 838Calculator?

Out the numbers 210, 765, 363, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.