GCD of 47, 202, 755, 784 Calculator

Given Input numbers are 47, 202, 755, 784

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 47, 202, 755, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 202, 755, 784 is 1.

Therefore, GCD of numbers 47, 202, 755, 784 is 1

Given Input Data is 47, 202, 755, 784

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

Prime Factorization of 47 is 47

Prime Factorization of 202 is 2 x 101

Prime Factorization of 755 is 5 x 151

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(47, 202) = 9494

GCD(47, 202) = ( 47 x 202 ) / 9494

GCD(47, 202) = 9494 / 9494

GCD(47, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 47, 202, 755, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 660, 988, 963
• GCD of 26, 732, 763, 821
• GCD of 57, 682, 820, 984
• GCD of 22, 402, 255, 726
• GCD of 99, 661, 685, 391

1. What is the GCD of 47, 202, 755, 784?

GCD of 47, 202, 755, 784 is 1

2. Where do I get the detailed procedure to find GCD of 47, 202, 755, 784?

You can find a detailed procedure to find GCD of 47, 202, 755, 784 on our page.

3. How to find GCD of 47, 202, 755, 784 on a calculator?

You can find the GCD of 47, 202, 755, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.