GCD of 358, 826, 667, 949 Calculator

Given Input numbers are 358, 826, 667, 949

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 826

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

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 358, 826, 667, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 826, 667, 949 is 1.

Therefore, GCD of numbers 358, 826, 667, 949 is 1

Given Input Data is 358, 826, 667, 949

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 667 is 23 x 29

Prime Factorization of 949 is 13 x 73

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, 826) = 147854

GCD(358, 826) = ( 358 x 826 ) / 147854

GCD(358, 826) = 295708 / 147854

GCD(358, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 358, 826, 667, 949 is 1

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1. What is the GCD of 358, 826, 667, 949?

GCD of 358, 826, 667, 949 is 1

2. Where do I get the detailed procedure to find GCD of 358, 826, 667, 949?

You can find a detailed procedure to find GCD of 358, 826, 667, 949 on our page.

3. How to find GCD of 358, 826, 667, 949 on a calculator?

You can find the GCD of 358, 826, 667, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.