GCD of 358, 832, 533, 748 Calculator

Given Input numbers are 358, 832, 533, 748

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

Divisors of 358

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

1, 2, 179, 358

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 358, 832, 533, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 832, 533, 748 is 1.

Therefore, GCD of numbers 358, 832, 533, 748 is 1

Given Input Data is 358, 832, 533, 748

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 533 is 13 x 41

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(358, 832) = 148928

GCD(358, 832) = ( 358 x 832 ) / 148928

GCD(358, 832) = 297856 / 148928

GCD(358, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 358, 832, 533, 748 is 1

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1. What is the GCD of 358, 832, 533, 748?

GCD of 358, 832, 533, 748 is 1

2. Where do I get the detailed procedure to find GCD of 358, 832, 533, 748?

You can find a detailed procedure to find GCD of 358, 832, 533, 748 on our page.

3. How to find GCD of 358, 832, 533, 748 on a calculator?

You can find the GCD of 358, 832, 533, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.