GCD of 677, 775, 767, 450 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 677, 775, 767, 450 i.e. 1 largest integer that divides all the numbers equally.

GCD of 677, 775, 767, 450 is 1

GCD(677, 775, 767, 450) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 677, 775, 767, 450 is 1

GCD(677, 775, 767, 450) = 1

GCD of 677,775,767,450 Calculator

GCDof 677,775,767,450 is 1

Given Input numbers are 677, 775, 767, 450

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

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

Greatest Common Divisior

We found the divisors of 677, 775, 767, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 775, 767, 450 is 1.

Therefore, GCD of numbers 677, 775, 767, 450 is 1

Finding GCD of 677, 775, 767, 450 using Prime Factorization

Given Input Data is 677, 775, 767, 450

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 677 is 677

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 767 is 13 x 59

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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

Finding GCD of 677, 775, 767, 450 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(677, 775) = 524675

GCD(677, 775) = ( 677 x 775 ) / 524675

GCD(677, 775) = 524675 / 524675

GCD(677, 775) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 677, 775, 767, 450 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 677, 775, 767, 450

1. What is the GCD of 677, 775, 767, 450?

GCD of 677, 775, 767, 450 is 1


2. Where do I get the detailed procedure to find GCD of 677, 775, 767, 450?

You can find a detailed procedure to find GCD of 677, 775, 767, 450 on our page.


3. How to find GCD of 677, 775, 767, 450 on a calculator?

You can find the GCD of 677, 775, 767, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.