GCD of 649, 968, 74, 469 Calculator

Given Input numbers are 649, 968, 74, 469

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 649, 968, 74, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 968, 74, 469 is 1.

Therefore, GCD of numbers 649, 968, 74, 469 is 1

Given Input Data is 649, 968, 74, 469

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 469 is 7 x 67

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, 968) = 57112

GCD(649, 968) = ( 649 x 968 ) / 57112

GCD(649, 968) = 628232 / 57112

GCD(649, 968) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 74

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

LCM(11, 74) = 814

GCD(11, 74) = ( 11 x 74 ) / 814

GCD(11, 74) = 814 / 814

GCD(11, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 649, 968, 74, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 658, 78, 750
• GCD of 555, 955, 35, 837
• GCD of 181, 165, 91, 141
• GCD of 724, 439, 18, 888
• GCD of 256, 687, 96, 245

1. What is the GCD of 649, 968, 74, 469?

GCD of 649, 968, 74, 469 is 1

2. Where do I get the detailed procedure to find GCD of 649, 968, 74, 469?

You can find a detailed procedure to find GCD of 649, 968, 74, 469 on our page.

3. How to find GCD of 649, 968, 74, 469 on a calculator?

You can find the GCD of 649, 968, 74, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.