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GCD of 802, 642, 905, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 642, 905, 820 quickly. Get the easiest ways to solve the greatest common divisor of 802, 642, 905, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 642, 905, 820 with Factoring?

Given Input numbers are 802, 642, 905, 820

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (802, 642, 905, 820) = 1.

Find GCD of 802, 642, 905, 820 using Prime Factorization

Given numbers are 802, 642, 905, 820

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 642 are 2 x 3 x 107

Prime factors of 905 are 5 x 181

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 802, 642, 905, 820 using LCM Formula

Given numbers are 802, 642, 905, 820

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

Apply this formula for all numbers.

Step1:

LCM(802, 642) = 257442

GCD(802, 642) = ( 802 x 642 ) / 257442

= 802 / 642

= 802


Step2:

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

= 2 / 905

= 2


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 802, 642, 905, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 642, 905, 820

Given numbers are 802, 642, 905, 820
The greatest common divisor of numbers 802, 642, 905, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 642, 905, 820 is 1.

FAQs on GCD of 802, 642, 905, 820 Calculator

1. What is the GCD of 802, 642, 905, 820?

GCD of given numbers 802, 642, 905, 820 is 1


2. How to calculate the greatest common divisor of 802, 642, 905, 820?

We can find the highest common divisor of 802, 642, 905, 820 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 802, 642, 905, 820 i.e 1.


3. How can I use the GCD of 802, 642, 905, 820Calculator?

Out the numbers 802, 642, 905, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.