GCD of 823, 949, 67, 353 Calculator

Given Input numbers are 823, 949, 67, 353

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 949

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

1, 13, 73, 949

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 823, 949, 67, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 949, 67, 353 is 1.

Therefore, GCD of numbers 823, 949, 67, 353 is 1

Given Input Data is 823, 949, 67, 353

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

Prime Factorization of 823 is 823

Prime Factorization of 949 is 13 x 73

Prime Factorization of 67 is 67

Prime Factorization of 353 is 353

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(823, 949) = 781027

GCD(823, 949) = ( 823 x 949 ) / 781027

GCD(823, 949) = 781027 / 781027

GCD(823, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 823, 949, 67, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 793, 11, 799
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• GCD of 116, 135, 52, 562

1. What is the GCD of 823, 949, 67, 353?

GCD of 823, 949, 67, 353 is 1

2. Where do I get the detailed procedure to find GCD of 823, 949, 67, 353?

You can find a detailed procedure to find GCD of 823, 949, 67, 353 on our page.

3. How to find GCD of 823, 949, 67, 353 on a calculator?

You can find the GCD of 823, 949, 67, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.