GCD of 675, 667, 836, 661 Calculator

Given Input numbers are 675, 667, 836, 661

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 675, 667, 836, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 667, 836, 661 is 1.

Therefore, GCD of numbers 675, 667, 836, 661 is 1

Given Input Data is 675, 667, 836, 661

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 667 is 23 x 29

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 661 is 661

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(675, 667) = 450225

GCD(675, 667) = ( 675 x 667 ) / 450225

GCD(675, 667) = 450225 / 450225

GCD(675, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 675, 667, 836, 661 is 1

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1. What is the GCD of 675, 667, 836, 661?

GCD of 675, 667, 836, 661 is 1

2. Where do I get the detailed procedure to find GCD of 675, 667, 836, 661?

You can find a detailed procedure to find GCD of 675, 667, 836, 661 on our page.

3. How to find GCD of 675, 667, 836, 661 on a calculator?

You can find the GCD of 675, 667, 836, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.