GCD of 267, 742, 39, 176 Calculator

Given Input numbers are 267, 742, 39, 176

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

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

Greatest Common Divisior

We found the divisors of 267, 742, 39, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 742, 39, 176 is 1.

Therefore, GCD of numbers 267, 742, 39, 176 is 1

Given Input Data is 267, 742, 39, 176

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(267, 742) = 198114

GCD(267, 742) = ( 267 x 742 ) / 198114

GCD(267, 742) = 198114 / 198114

GCD(267, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 267, 742, 39, 176 is 1

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1. What is the GCD of 267, 742, 39, 176?

GCD of 267, 742, 39, 176 is 1

2. Where do I get the detailed procedure to find GCD of 267, 742, 39, 176?

You can find a detailed procedure to find GCD of 267, 742, 39, 176 on our page.

3. How to find GCD of 267, 742, 39, 176 on a calculator?

You can find the GCD of 267, 742, 39, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.