GCD of 961, 827, 896, 358 Calculator

Given Input numbers are 961, 827, 896, 358

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

Divisors of 961

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

1, 31, 961

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 961, 827, 896, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 827, 896, 358 is 1.

Therefore, GCD of numbers 961, 827, 896, 358 is 1

Given Input Data is 961, 827, 896, 358

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 827 is 827

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 358 is 2 x 179

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(961, 827) = 794747

GCD(961, 827) = ( 961 x 827 ) / 794747

GCD(961, 827) = 794747 / 794747

GCD(961, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 961, 827, 896, 358 is 1

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1. What is the GCD of 961, 827, 896, 358?

GCD of 961, 827, 896, 358 is 1

2. Where do I get the detailed procedure to find GCD of 961, 827, 896, 358?

You can find a detailed procedure to find GCD of 961, 827, 896, 358 on our page.

3. How to find GCD of 961, 827, 896, 358 on a calculator?

You can find the GCD of 961, 827, 896, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.