GCD of 749, 278, 844, 162 Calculator

Given Input numbers are 749, 278, 844, 162

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 749, 278, 844, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 278, 844, 162 is 1.

Therefore, GCD of numbers 749, 278, 844, 162 is 1

Given Input Data is 749, 278, 844, 162

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 278 is 2 x 139

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(749, 278) = 208222

GCD(749, 278) = ( 749 x 278 ) / 208222

GCD(749, 278) = 208222 / 208222

GCD(749, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 749, 278, 844, 162 is 1

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1. What is the GCD of 749, 278, 844, 162?

GCD of 749, 278, 844, 162 is 1

2. Where do I get the detailed procedure to find GCD of 749, 278, 844, 162?

You can find a detailed procedure to find GCD of 749, 278, 844, 162 on our page.

3. How to find GCD of 749, 278, 844, 162 on a calculator?

You can find the GCD of 749, 278, 844, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.