GCD of 509, 656, 77, 379 Calculator

Given Input numbers are 509, 656, 77, 379

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 77

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

1, 7, 11, 77

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 509, 656, 77, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 656, 77, 379 is 1.

Therefore, GCD of numbers 509, 656, 77, 379 is 1

Given Input Data is 509, 656, 77, 379

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

Prime Factorization of 509 is 509

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 77 is 7 x 11

Prime Factorization of 379 is 379

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(509, 656) = 333904

GCD(509, 656) = ( 509 x 656 ) / 333904

GCD(509, 656) = 333904 / 333904

GCD(509, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 509, 656, 77, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 278, 79, 957
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• GCD of 264, 992, 51, 462
• GCD of 372, 256, 95, 969
• GCD of 512, 984, 47, 359

1. What is the GCD of 509, 656, 77, 379?

GCD of 509, 656, 77, 379 is 1

2. Where do I get the detailed procedure to find GCD of 509, 656, 77, 379?

You can find a detailed procedure to find GCD of 509, 656, 77, 379 on our page.

3. How to find GCD of 509, 656, 77, 379 on a calculator?

You can find the GCD of 509, 656, 77, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.