GCD of 649, 765, 566, 131 Calculator

Given Input numbers are 649, 765, 566, 131

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 649, 765, 566, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 765, 566, 131 is 1.

Therefore, GCD of numbers 649, 765, 566, 131 is 1

Given Input Data is 649, 765, 566, 131

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 566 is 2 x 283

Prime Factorization of 131 is 131

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(649, 765) = 496485

GCD(649, 765) = ( 649 x 765 ) / 496485

GCD(649, 765) = 496485 / 496485

GCD(649, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 649, 765, 566, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 559, 290, 502
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• GCD of 400, 768, 963, 213
• GCD of 962, 715, 496, 116

1. What is the GCD of 649, 765, 566, 131?

GCD of 649, 765, 566, 131 is 1

2. Where do I get the detailed procedure to find GCD of 649, 765, 566, 131?

You can find a detailed procedure to find GCD of 649, 765, 566, 131 on our page.

3. How to find GCD of 649, 765, 566, 131 on a calculator?

You can find the GCD of 649, 765, 566, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.