GCD of 949, 921, 359, 494 Calculator

Given Input numbers are 949, 921, 359, 494

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 949, 921, 359, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 921, 359, 494 is 1.

Therefore, GCD of numbers 949, 921, 359, 494 is 1

Given Input Data is 949, 921, 359, 494

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 921 is 3 x 307

Prime Factorization of 359 is 359

Prime Factorization of 494 is 2 x 13 x 19

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(949, 921) = 874029

GCD(949, 921) = ( 949 x 921 ) / 874029

GCD(949, 921) = 874029 / 874029

GCD(949, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 949, 921, 359, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 793, 693, 952
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• GCD of 100, 910, 273, 224
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• GCD of 384, 146, 655, 986

1. What is the GCD of 949, 921, 359, 494?

GCD of 949, 921, 359, 494 is 1

2. Where do I get the detailed procedure to find GCD of 949, 921, 359, 494?

You can find a detailed procedure to find GCD of 949, 921, 359, 494 on our page.

3. How to find GCD of 949, 921, 359, 494 on a calculator?

You can find the GCD of 949, 921, 359, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.