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GCD of 782, 220, 369, 826 Calculator

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


Online GCD Calculator is useful to find the GCD of 782, 220, 369, 826 quickly. Get the easiest ways to solve the greatest common divisor of 782, 220, 369, 826 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 782, 220, 369, 826 with Factoring?

Given Input numbers are 782, 220, 369, 826

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826


GCD of numbers is the greatest common divisor

So, the GCD (782, 220, 369, 826) = 1.

Find GCD of 782, 220, 369, 826 using Prime Factorization

Given numbers are 782, 220, 369, 826

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 369 are 3 x 3 x 41

Prime factors of 826 are 2 x 7 x 59

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

Steps to Calculate GCD of 782, 220, 369, 826 using LCM Formula

Given numbers are 782, 220, 369, 826

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

Apply this formula for all numbers.

Step1:

LCM(782, 220) = 86020

GCD(782, 220) = ( 782 x 220 ) / 86020

= 782 / 220

= 782


Step2:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2


Step3:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1


So, Greatest Common Divisor of 782, 220, 369, 826 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 782, 220, 369, 826

Given numbers are 782, 220, 369, 826
The greatest common divisor of numbers 782, 220, 369, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 220, 369, 826 is 1.

FAQs on GCD of 782, 220, 369, 826 Calculator

1. What is the GCD of 782, 220, 369, 826?

GCD of given numbers 782, 220, 369, 826 is 1


2. How to calculate the greatest common divisor of 782, 220, 369, 826?

We can find the highest common divisor of 782, 220, 369, 826 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 782, 220, 369, 826 i.e 1.


3. How can I use the GCD of 782, 220, 369, 826Calculator?

Out the numbers 782, 220, 369, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.