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GCD of 600, 697, 990, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 697, 990, 677 quickly. Get the easiest ways to solve the greatest common divisor of 600, 697, 990, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 697, 990, 677 with Factoring?

Given Input numbers are 600, 697, 990, 677

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (600, 697, 990, 677) = 1.

Find GCD of 600, 697, 990, 677 using Prime Factorization

Given numbers are 600, 697, 990, 677

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 697 are 17 x 41

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 677 are 677

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

Steps to Calculate GCD of 600, 697, 990, 677 using LCM Formula

Given numbers are 600, 697, 990, 677

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

Apply this formula for all numbers.

Step1:

LCM(600, 697) = 418200

GCD(600, 697) = ( 600 x 697 ) / 418200

= 600 / 697

= 600


Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 600, 697, 990, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 697, 990, 677

Given numbers are 600, 697, 990, 677
The greatest common divisor of numbers 600, 697, 990, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 697, 990, 677 is 1.

FAQs on GCD of 600, 697, 990, 677 Calculator

1. What is the GCD of 600, 697, 990, 677?

GCD of given numbers 600, 697, 990, 677 is 1


2. How to calculate the greatest common divisor of 600, 697, 990, 677?

We can find the highest common divisor of 600, 697, 990, 677 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 600, 697, 990, 677 i.e 1.


3. How can I use the GCD of 600, 697, 990, 677Calculator?

Out the numbers 600, 697, 990, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.