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GCD of 450, 693, 629, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 450, 693, 629, 138 quickly. Get the easiest ways to solve the greatest common divisor of 450, 693, 629, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 693, 629, 138 with Factoring?

Given Input numbers are 450, 693, 629, 138

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 629 :

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

1, 17, 37, 629

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (450, 693, 629, 138) = 1.

Find GCD of 450, 693, 629, 138 using Prime Factorization

Given numbers are 450, 693, 629, 138

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 629 are 17 x 37

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 450, 693, 629, 138 using LCM Formula

Given numbers are 450, 693, 629, 138

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

Apply this formula for all numbers.

Step1:

LCM(450, 693) = 34650

GCD(450, 693) = ( 450 x 693 ) / 34650

= 450 / 693

= 450


Step2:

LCM(9, 629) = 5661

GCD(9, 629) = ( 9 x 629 ) / 5661

= 9 / 629

= 9


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 450, 693, 629, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 693, 629, 138

Given numbers are 450, 693, 629, 138
The greatest common divisor of numbers 450, 693, 629, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 693, 629, 138 is 1.

FAQs on GCD of 450, 693, 629, 138 Calculator

1. What is the GCD of 450, 693, 629, 138?

GCD of given numbers 450, 693, 629, 138 is 1


2. How to calculate the greatest common divisor of 450, 693, 629, 138?

We can find the highest common divisor of 450, 693, 629, 138 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 450, 693, 629, 138 i.e 1.


3. How can I use the GCD of 450, 693, 629, 138Calculator?

Out the numbers 450, 693, 629, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.