GCD of 207, 677, 355, 734 Calculator

Given Input numbers are 207, 677, 355, 734

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 677

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

1, 677

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 207, 677, 355, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 677, 355, 734 is 1.

Therefore, GCD of numbers 207, 677, 355, 734 is 1

Given Input Data is 207, 677, 355, 734

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 677 is 677

Prime Factorization of 355 is 5 x 71

Prime Factorization of 734 is 2 x 367

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

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(207, 677) = 140139

GCD(207, 677) = ( 207 x 677 ) / 140139

GCD(207, 677) = 140139 / 140139

GCD(207, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 207, 677, 355, 734 is 1

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1. What is the GCD of 207, 677, 355, 734?

GCD of 207, 677, 355, 734 is 1

2. Where do I get the detailed procedure to find GCD of 207, 677, 355, 734?

You can find a detailed procedure to find GCD of 207, 677, 355, 734 on our page.

3. How to find GCD of 207, 677, 355, 734 on a calculator?

You can find the GCD of 207, 677, 355, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.