GCD of 77, 289, 572, 415 Calculator

Given Input numbers are 77, 289, 572, 415

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 77, 289, 572, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 289, 572, 415 is 1.

Therefore, GCD of numbers 77, 289, 572, 415 is 1

Given Input Data is 77, 289, 572, 415

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 289 is 17 x 17

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 415 is 5 x 83

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(77, 289) = 22253

GCD(77, 289) = ( 77 x 289 ) / 22253

GCD(77, 289) = 22253 / 22253

GCD(77, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 77, 289, 572, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 783, 442, 301
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• GCD of 85, 256, 133, 862
• GCD of 40, 108, 594, 285
• GCD of 14, 658, 807, 263

1. What is the GCD of 77, 289, 572, 415?

GCD of 77, 289, 572, 415 is 1

2. Where do I get the detailed procedure to find GCD of 77, 289, 572, 415?

You can find a detailed procedure to find GCD of 77, 289, 572, 415 on our page.

3. How to find GCD of 77, 289, 572, 415 on a calculator?

You can find the GCD of 77, 289, 572, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.