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GCD of 450, 752, 772, 655 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, 752, 772, 655 quickly. Get the easiest ways to solve the greatest common divisor of 450, 752, 772, 655 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 752, 772, 655 with Factoring?

Given Input numbers are 450, 752, 772, 655

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655


GCD of numbers is the greatest common divisor

So, the GCD (450, 752, 772, 655) = 1.

Find GCD of 450, 752, 772, 655 using Prime Factorization

Given numbers are 450, 752, 772, 655

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 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 772 are 2 x 2 x 193

Prime factors of 655 are 5 x 131

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

Steps to Calculate GCD of 450, 752, 772, 655 using LCM Formula

Given numbers are 450, 752, 772, 655

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

Apply this formula for all numbers.

Step1:

LCM(450, 752) = 169200

GCD(450, 752) = ( 450 x 752 ) / 169200

= 450 / 752

= 450


Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2


Step3:

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

= 2 / 655

= 2


So, Greatest Common Divisor of 450, 752, 772, 655 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 752, 772, 655

Given numbers are 450, 752, 772, 655
The greatest common divisor of numbers 450, 752, 772, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 752, 772, 655 is 1.

FAQs on GCD of 450, 752, 772, 655 Calculator

1. What is the GCD of 450, 752, 772, 655?

GCD of given numbers 450, 752, 772, 655 is 1


2. How to calculate the greatest common divisor of 450, 752, 772, 655?

We can find the highest common divisor of 450, 752, 772, 655 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, 752, 772, 655 i.e 1.


3. How can I use the GCD of 450, 752, 772, 655Calculator?

Out the numbers 450, 752, 772, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.