GCD of 100, 352, 757, 512 Calculator

Given Input numbers are 100, 352, 757, 512

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 100, 352, 757, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 352, 757, 512 is 1.

Therefore, GCD of numbers 100, 352, 757, 512 is 1

Given Input Data is 100, 352, 757, 512

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Prime Factorization of 757 is 757

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(100, 352) = 8800

GCD(100, 352) = ( 100 x 352 ) / 8800

GCD(100, 352) = 35200 / 8800

GCD(100, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 757

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

LCM(4, 757) = 3028

GCD(4, 757) = ( 4 x 757 ) / 3028

GCD(4, 757) = 3028 / 3028

GCD(4, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 100, 352, 757, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 947, 880, 471
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• GCD of 747, 668, 242, 356
• GCD of 337, 169, 224, 961
• GCD of 775, 419, 429, 782

1. What is the GCD of 100, 352, 757, 512?

GCD of 100, 352, 757, 512 is 1

2. Where do I get the detailed procedure to find GCD of 100, 352, 757, 512?

You can find a detailed procedure to find GCD of 100, 352, 757, 512 on our page.

3. How to find GCD of 100, 352, 757, 512 on a calculator?

You can find the GCD of 100, 352, 757, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.