GCD of 352, 932, 51, 649 Calculator

Given Input numbers are 352, 932, 51, 649

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 649

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

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 352, 932, 51, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 932, 51, 649 is 1.

Therefore, GCD of numbers 352, 932, 51, 649 is 1

Given Input Data is 352, 932, 51, 649

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 51 is 3 x 17

Prime Factorization of 649 is 11 x 59

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(352, 932) = 82016

GCD(352, 932) = ( 352 x 932 ) / 82016

GCD(352, 932) = 328064 / 82016

GCD(352, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 352, 932, 51, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 500, 50, 409
• GCD of 943, 641, 43, 352
• GCD of 365, 967, 59, 190
• GCD of 472, 666, 64, 438
• GCD of 893, 284, 96, 424

1. What is the GCD of 352, 932, 51, 649?

GCD of 352, 932, 51, 649 is 1

2. Where do I get the detailed procedure to find GCD of 352, 932, 51, 649?

You can find a detailed procedure to find GCD of 352, 932, 51, 649 on our page.

3. How to find GCD of 352, 932, 51, 649 on a calculator?

You can find the GCD of 352, 932, 51, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.