GCD of 649, 732, 698, 310 Calculator

Given Input numbers are 649, 732, 698, 310

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 649, 732, 698, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 732, 698, 310 is 1.

Therefore, GCD of numbers 649, 732, 698, 310 is 1

Given Input Data is 649, 732, 698, 310

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 698 is 2 x 349

Prime Factorization of 310 is 2 x 5 x 31

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, 732) = 475068

GCD(649, 732) = ( 649 x 732 ) / 475068

GCD(649, 732) = 475068 / 475068

GCD(649, 732) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 649, 732, 698, 310 is 1

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1. What is the GCD of 649, 732, 698, 310?

GCD of 649, 732, 698, 310 is 1

2. Where do I get the detailed procedure to find GCD of 649, 732, 698, 310?

You can find a detailed procedure to find GCD of 649, 732, 698, 310 on our page.

3. How to find GCD of 649, 732, 698, 310 on a calculator?

You can find the GCD of 649, 732, 698, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.