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GCD of 803, 968, 395, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 803, 968, 395, 920 quickly. Get the easiest ways to solve the greatest common divisor of 803, 968, 395, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 803, 968, 395, 920 with Factoring?

Given Input numbers are 803, 968, 395, 920

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

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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


GCD of numbers is the greatest common divisor

So, the GCD (803, 968, 395, 920) = 1.

Find GCD of 803, 968, 395, 920 using Prime Factorization

Given numbers are 803, 968, 395, 920

The list of prime factors of all numbers are

Prime factors of 803 are 11 x 73

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 395 are 5 x 79

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

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

Steps to Calculate GCD of 803, 968, 395, 920 using LCM Formula

Given numbers are 803, 968, 395, 920

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

Apply this formula for all numbers.

Step1:

LCM(803, 968) = 70664

GCD(803, 968) = ( 803 x 968 ) / 70664

= 803 / 968

= 803


Step2:

LCM(11, 395) = 4345

GCD(11, 395) = ( 11 x 395 ) / 4345

= 11 / 395

= 11


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 803, 968, 395, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 803, 968, 395, 920

Given numbers are 803, 968, 395, 920
The greatest common divisor of numbers 803, 968, 395, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 968, 395, 920 is 1.

FAQs on GCD of 803, 968, 395, 920 Calculator

1. What is the GCD of 803, 968, 395, 920?

GCD of given numbers 803, 968, 395, 920 is 1


2. How to calculate the greatest common divisor of 803, 968, 395, 920?

We can find the highest common divisor of 803, 968, 395, 920 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 803, 968, 395, 920 i.e 1.


3. How can I use the GCD of 803, 968, 395, 920Calculator?

Out the numbers 803, 968, 395, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.