GCD of 356, 149, 108, 802 Calculator

Given Input numbers are 356, 149, 108, 802

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 356, 149, 108, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 149, 108, 802 is 1.

Therefore, GCD of numbers 356, 149, 108, 802 is 1

Given Input Data is 356, 149, 108, 802

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 149 is 149

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 802 is 2 x 401

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(356, 149) = 53044

GCD(356, 149) = ( 356 x 149 ) / 53044

GCD(356, 149) = 53044 / 53044

GCD(356, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 356, 149, 108, 802 is 1

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• GCD of 770, 176, 259, 883
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• GCD of 683, 754, 229, 805

1. What is the GCD of 356, 149, 108, 802?

GCD of 356, 149, 108, 802 is 1

2. Where do I get the detailed procedure to find GCD of 356, 149, 108, 802?

You can find a detailed procedure to find GCD of 356, 149, 108, 802 on our page.

3. How to find GCD of 356, 149, 108, 802 on a calculator?

You can find the GCD of 356, 149, 108, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.