GCD of 675, 400, 952, 826 Calculator

Given Input numbers are 675, 400, 952, 826

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 675, 400, 952, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 400, 952, 826 is 1.

Therefore, GCD of numbers 675, 400, 952, 826 is 1

Given Input Data is 675, 400, 952, 826

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 826 is 2 x 7 x 59

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, 400) = 10800

GCD(675, 400) = ( 675 x 400 ) / 10800

GCD(675, 400) = 270000 / 10800

GCD(675, 400) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 952

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

LCM(25, 952) = 23800

GCD(25, 952) = ( 25 x 952 ) / 23800

GCD(25, 952) = 23800 / 23800

GCD(25, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 675, 400, 952, 826 is 1

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1. What is the GCD of 675, 400, 952, 826?

GCD of 675, 400, 952, 826 is 1

2. Where do I get the detailed procedure to find GCD of 675, 400, 952, 826?

You can find a detailed procedure to find GCD of 675, 400, 952, 826 on our page.

3. How to find GCD of 675, 400, 952, 826 on a calculator?

You can find the GCD of 675, 400, 952, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.