GCD of 759, 649, 26, 949 Calculator

Given Input numbers are 759, 649, 26, 949

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 649

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

1, 11, 59, 649

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 759, 649, 26, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 649, 26, 949 is 1.

Therefore, GCD of numbers 759, 649, 26, 949 is 1

Given Input Data is 759, 649, 26, 949

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 649 is 11 x 59

Prime Factorization of 26 is 2 x 13

Prime Factorization of 949 is 13 x 73

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(759, 649) = 44781

GCD(759, 649) = ( 759 x 649 ) / 44781

GCD(759, 649) = 492591 / 44781

GCD(759, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 26

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

LCM(11, 26) = 286

GCD(11, 26) = ( 11 x 26 ) / 286

GCD(11, 26) = 286 / 286

GCD(11, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 759, 649, 26, 949 is 1

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1. What is the GCD of 759, 649, 26, 949?

GCD of 759, 649, 26, 949 is 1

2. Where do I get the detailed procedure to find GCD of 759, 649, 26, 949?

You can find a detailed procedure to find GCD of 759, 649, 26, 949 on our page.

3. How to find GCD of 759, 649, 26, 949 on a calculator?

You can find the GCD of 759, 649, 26, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.