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GCD of 900, 629, 601, 401 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 629, 601, 401 quickly. Get the easiest ways to solve the greatest common divisor of 900, 629, 601, 401 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 629, 601, 401 with Factoring?

Given Input numbers are 900, 629, 601, 401

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 629 :

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

1, 17, 37, 629

Divisors of 601 :

The positive integer divisors of 601 that completely divides 601 are.

1, 601

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401


GCD of numbers is the greatest common divisor

So, the GCD (900, 629, 601, 401) = 1.

Find GCD of 900, 629, 601, 401 using Prime Factorization

Given numbers are 900, 629, 601, 401

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 629 are 17 x 37

Prime factors of 601 are 601

Prime factors of 401 are 401

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

Steps to Calculate GCD of 900, 629, 601, 401 using LCM Formula

Given numbers are 900, 629, 601, 401

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

Apply this formula for all numbers.

Step1:

LCM(900, 629) = 566100

GCD(900, 629) = ( 900 x 629 ) / 566100

= 900 / 629

= 900


Step2:

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

= 1 / 601

= 1


Step3:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1


So, Greatest Common Divisor of 900, 629, 601, 401 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 629, 601, 401

Given numbers are 900, 629, 601, 401
The greatest common divisor of numbers 900, 629, 601, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 629, 601, 401 is 1.

FAQs on GCD of 900, 629, 601, 401 Calculator

1. What is the GCD of 900, 629, 601, 401?

GCD of given numbers 900, 629, 601, 401 is 1


2. How to calculate the greatest common divisor of 900, 629, 601, 401?

We can find the highest common divisor of 900, 629, 601, 401 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 900, 629, 601, 401 i.e 1.


3. How can I use the GCD of 900, 629, 601, 401Calculator?

Out the numbers 900, 629, 601, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.