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GCD of 920, 844, 768, 229 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 844, 768, 229 quickly. Get the easiest ways to solve the greatest common divisor of 920, 844, 768, 229 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 844, 768, 229 with Factoring?

Given Input numbers are 920, 844, 768, 229

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229


GCD of numbers is the greatest common divisor

So, the GCD (920, 844, 768, 229) = 1.

Find GCD of 920, 844, 768, 229 using Prime Factorization

Given numbers are 920, 844, 768, 229

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 844 are 2 x 2 x 211

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 229 are 229

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

Steps to Calculate GCD of 920, 844, 768, 229 using LCM Formula

Given numbers are 920, 844, 768, 229

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

Apply this formula for all numbers.

Step1:

LCM(920, 844) = 194120

GCD(920, 844) = ( 920 x 844 ) / 194120

= 920 / 844

= 920


Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4


Step3:

LCM(4, 229) = 916

GCD(4, 229) = ( 4 x 229 ) / 916

= 4 / 229

= 4


So, Greatest Common Divisor of 920, 844, 768, 229 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 844, 768, 229

Given numbers are 920, 844, 768, 229
The greatest common divisor of numbers 920, 844, 768, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 844, 768, 229 is 1.

FAQs on GCD of 920, 844, 768, 229 Calculator

1. What is the GCD of 920, 844, 768, 229?

GCD of given numbers 920, 844, 768, 229 is 1


2. How to calculate the greatest common divisor of 920, 844, 768, 229?

We can find the highest common divisor of 920, 844, 768, 229 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 920, 844, 768, 229 i.e 1.


3. How can I use the GCD of 920, 844, 768, 229Calculator?

Out the numbers 920, 844, 768, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.