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GCD of 551, 800, 355, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 551, 800, 355, 687 quickly. Get the easiest ways to solve the greatest common divisor of 551, 800, 355, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 551, 800, 355, 687 with Factoring?

Given Input numbers are 551, 800, 355, 687

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

Divisors of 551 :

The positive integer divisors of 551 that completely divides 551 are.

1, 19, 29, 551

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 687 :

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

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (551, 800, 355, 687) = 1.

Find GCD of 551, 800, 355, 687 using Prime Factorization

Given numbers are 551, 800, 355, 687

The list of prime factors of all numbers are

Prime factors of 551 are 19 x 29

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 355 are 5 x 71

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 551, 800, 355, 687 using LCM Formula

Given numbers are 551, 800, 355, 687

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

Apply this formula for all numbers.

Step1:

LCM(551, 800) = 440800

GCD(551, 800) = ( 551 x 800 ) / 440800

= 551 / 800

= 551


Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


So, Greatest Common Divisor of 551, 800, 355, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 551, 800, 355, 687

Given numbers are 551, 800, 355, 687
The greatest common divisor of numbers 551, 800, 355, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 551, 800, 355, 687 is 1.

FAQs on GCD of 551, 800, 355, 687 Calculator

1. What is the GCD of 551, 800, 355, 687?

GCD of given numbers 551, 800, 355, 687 is 1


2. How to calculate the greatest common divisor of 551, 800, 355, 687?

We can find the highest common divisor of 551, 800, 355, 687 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 551, 800, 355, 687 i.e 1.


3. How can I use the GCD of 551, 800, 355, 687Calculator?

Out the numbers 551, 800, 355, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.