GCD of 784, 145, 41, 632 Calculator

Given Input numbers are 784, 145, 41, 632

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

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 784, 145, 41, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 145, 41, 632 is 1.

Therefore, GCD of numbers 784, 145, 41, 632 is 1

Given Input Data is 784, 145, 41, 632

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

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 41 is 41

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(784, 145) = 113680

GCD(784, 145) = ( 784 x 145 ) / 113680

GCD(784, 145) = 113680 / 113680

GCD(784, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 784, 145, 41, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 358, 55, 889
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• GCD of 732, 242, 89, 892
• GCD of 162, 730, 13, 503

1. What is the GCD of 784, 145, 41, 632?

GCD of 784, 145, 41, 632 is 1

2. Where do I get the detailed procedure to find GCD of 784, 145, 41, 632?

You can find a detailed procedure to find GCD of 784, 145, 41, 632 on our page.

3. How to find GCD of 784, 145, 41, 632 on a calculator?

You can find the GCD of 784, 145, 41, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.