GCD of 476, 145, 740, 675 Calculator

Given Input numbers are 476, 145, 740, 675

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

Greatest Common Divisior

We found the divisors of 476, 145, 740, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 145, 740, 675 is 1.

Therefore, GCD of numbers 476, 145, 740, 675 is 1

Given Input Data is 476, 145, 740, 675

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 145 is 5 x 29

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

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(476, 145) = 69020

GCD(476, 145) = ( 476 x 145 ) / 69020

GCD(476, 145) = 69020 / 69020

GCD(476, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 476, 145, 740, 675 is 1

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1. What is the GCD of 476, 145, 740, 675?

GCD of 476, 145, 740, 675 is 1

2. Where do I get the detailed procedure to find GCD of 476, 145, 740, 675?

You can find a detailed procedure to find GCD of 476, 145, 740, 675 on our page.

3. How to find GCD of 476, 145, 740, 675 on a calculator?

You can find the GCD of 476, 145, 740, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.