GCD of 353, 501, 78, 269 Calculator

Given Input numbers are 353, 501, 78, 269

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

Divisors of 353

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

1, 353

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 353, 501, 78, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 501, 78, 269 is 1.

Therefore, GCD of numbers 353, 501, 78, 269 is 1

Given Input Data is 353, 501, 78, 269

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

Prime Factorization of 353 is 353

Prime Factorization of 501 is 3 x 167

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 269 is 269

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(353, 501) = 176853

GCD(353, 501) = ( 353 x 501 ) / 176853

GCD(353, 501) = 176853 / 176853

GCD(353, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 353, 501, 78, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 402, 58, 649
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• GCD of 938, 507, 75, 507
• GCD of 345, 798, 45, 978
• GCD of 946, 244, 16, 971

1. What is the GCD of 353, 501, 78, 269?

GCD of 353, 501, 78, 269 is 1

2. Where do I get the detailed procedure to find GCD of 353, 501, 78, 269?

You can find a detailed procedure to find GCD of 353, 501, 78, 269 on our page.

3. How to find GCD of 353, 501, 78, 269 on a calculator?

You can find the GCD of 353, 501, 78, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.