GCD of 368, 732, 986, 471 Calculator

Given Input numbers are 368, 732, 986, 471

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 368, 732, 986, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 732, 986, 471 is 1.

Therefore, GCD of numbers 368, 732, 986, 471 is 1

Given Input Data is 368, 732, 986, 471

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 471 is 3 x 157

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(368, 732) = 67344

GCD(368, 732) = ( 368 x 732 ) / 67344

GCD(368, 732) = 269376 / 67344

GCD(368, 732) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 368, 732, 986, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 977, 233, 577
• GCD of 269, 822, 595, 711
• GCD of 849, 767, 322, 533
• GCD of 478, 535, 220, 270
• GCD of 798, 571, 607, 943

1. What is the GCD of 368, 732, 986, 471?

GCD of 368, 732, 986, 471 is 1

2. Where do I get the detailed procedure to find GCD of 368, 732, 986, 471?

You can find a detailed procedure to find GCD of 368, 732, 986, 471 on our page.

3. How to find GCD of 368, 732, 986, 471 on a calculator?

You can find the GCD of 368, 732, 986, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.