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GCD of 768, 900, 337, 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 768, 900, 337, 826 quickly. Get the easiest ways to solve the greatest common divisor of 768, 900, 337, 826 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 768, 900, 337, 826 with Factoring?

Given Input numbers are 768, 900, 337, 826

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

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 (768, 900, 337, 826) = 1.

Find GCD of 768, 900, 337, 826 using Prime Factorization

Given numbers are 768, 900, 337, 826

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 337 are 337

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 768, 900, 337, 826 using LCM Formula

Given numbers are 768, 900, 337, 826

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

Apply this formula for all numbers.

Step1:

LCM(768, 900) = 57600

GCD(768, 900) = ( 768 x 900 ) / 57600

= 768 / 900

= 768


Step2:

LCM(12, 337) = 4044

GCD(12, 337) = ( 12 x 337 ) / 4044

= 12 / 337

= 12


Step3:

LCM(1, 826) = 826

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

= 1 / 826

= 1


So, Greatest Common Divisor of 768, 900, 337, 826 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 768, 900, 337, 826

Given numbers are 768, 900, 337, 826
The greatest common divisor of numbers 768, 900, 337, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 900, 337, 826 is 1.

FAQs on GCD of 768, 900, 337, 826 Calculator

1. What is the GCD of 768, 900, 337, 826?

GCD of given numbers 768, 900, 337, 826 is 1


2. How to calculate the greatest common divisor of 768, 900, 337, 826?

We can find the highest common divisor of 768, 900, 337, 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 768, 900, 337, 826 i.e 1.


3. How can I use the GCD of 768, 900, 337, 826Calculator?

Out the numbers 768, 900, 337, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.