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GCD of 200, 629, 505, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 629, 505, 688 quickly. Get the easiest ways to solve the greatest common divisor of 200, 629, 505, 688 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 629, 505, 688 with Factoring?

Given Input numbers are 200, 629, 505, 688

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (200, 629, 505, 688) = 1.

Find GCD of 200, 629, 505, 688 using Prime Factorization

Given numbers are 200, 629, 505, 688

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 629 are 17 x 37

Prime factors of 505 are 5 x 101

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 200, 629, 505, 688 using LCM Formula

Given numbers are 200, 629, 505, 688

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

Apply this formula for all numbers.

Step1:

LCM(200, 629) = 125800

GCD(200, 629) = ( 200 x 629 ) / 125800

= 200 / 629

= 200


Step2:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1


Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


So, Greatest Common Divisor of 200, 629, 505, 688 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 629, 505, 688

Given numbers are 200, 629, 505, 688
The greatest common divisor of numbers 200, 629, 505, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 629, 505, 688 is 1.

FAQs on GCD of 200, 629, 505, 688 Calculator

1. What is the GCD of 200, 629, 505, 688?

GCD of given numbers 200, 629, 505, 688 is 1


2. How to calculate the greatest common divisor of 200, 629, 505, 688?

We can find the highest common divisor of 200, 629, 505, 688 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 200, 629, 505, 688 i.e 1.


3. How can I use the GCD of 200, 629, 505, 688Calculator?

Out the numbers 200, 629, 505, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.