GCD of 742, 156, 705, 592 Calculator

Given Input numbers are 742, 156, 705, 592

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

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 742, 156, 705, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 156, 705, 592 is 1.

Therefore, GCD of numbers 742, 156, 705, 592 is 1

Given Input Data is 742, 156, 705, 592

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(742, 156) = 57876

GCD(742, 156) = ( 742 x 156 ) / 57876

GCD(742, 156) = 115752 / 57876

GCD(742, 156) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 742, 156, 705, 592 is 1

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1. What is the GCD of 742, 156, 705, 592?

GCD of 742, 156, 705, 592 is 1

2. Where do I get the detailed procedure to find GCD of 742, 156, 705, 592?

You can find a detailed procedure to find GCD of 742, 156, 705, 592 on our page.

3. How to find GCD of 742, 156, 705, 592 on a calculator?

You can find the GCD of 742, 156, 705, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.