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GCD of 687, 775, 936, 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 687, 775, 936, 820 quickly. Get the easiest ways to solve the greatest common divisor of 687, 775, 936, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 687, 775, 936, 820 with Factoring?

Given Input numbers are 687, 775, 936, 820

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 (687, 775, 936, 820) = 1.

Find GCD of 687, 775, 936, 820 using Prime Factorization

Given numbers are 687, 775, 936, 820

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 775 are 5 x 5 x 31

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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 687, 775, 936, 820 using LCM Formula

Given numbers are 687, 775, 936, 820

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

Apply this formula for all numbers.

Step1:

LCM(687, 775) = 532425

GCD(687, 775) = ( 687 x 775 ) / 532425

= 687 / 775

= 687


Step2:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1


Step3:

LCM(1, 820) = 820

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

= 1 / 820

= 1


So, Greatest Common Divisor of 687, 775, 936, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 687, 775, 936, 820

Given numbers are 687, 775, 936, 820
The greatest common divisor of numbers 687, 775, 936, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 775, 936, 820 is 1.

FAQs on GCD of 687, 775, 936, 820 Calculator

1. What is the GCD of 687, 775, 936, 820?

GCD of given numbers 687, 775, 936, 820 is 1


2. How to calculate the greatest common divisor of 687, 775, 936, 820?

We can find the highest common divisor of 687, 775, 936, 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 687, 775, 936, 820 i.e 1.


3. How can I use the GCD of 687, 775, 936, 820Calculator?

Out the numbers 687, 775, 936, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.