GCD of 675, 961, 376, 721 Calculator

Given Input numbers are 675, 961, 376, 721

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 675, 961, 376, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 961, 376, 721 is 1.

Therefore, GCD of numbers 675, 961, 376, 721 is 1

Given Input Data is 675, 961, 376, 721

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 961 is 31 x 31

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 721 is 7 x 103

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, 961) = 648675

GCD(675, 961) = ( 675 x 961 ) / 648675

GCD(675, 961) = 648675 / 648675

GCD(675, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 675, 961, 376, 721 is 1

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1. What is the GCD of 675, 961, 376, 721?

GCD of 675, 961, 376, 721 is 1

2. Where do I get the detailed procedure to find GCD of 675, 961, 376, 721?

You can find a detailed procedure to find GCD of 675, 961, 376, 721 on our page.

3. How to find GCD of 675, 961, 376, 721 on a calculator?

You can find the GCD of 675, 961, 376, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.