GCD of 742, 592, 851, 157 Calculator

Given Input numbers are 742, 592, 851, 157

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 592

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

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 742, 592, 851, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 592, 851, 157 is 1.

Therefore, GCD of numbers 742, 592, 851, 157 is 1

Given Input Data is 742, 592, 851, 157

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 851 is 23 x 37

Prime Factorization of 157 is 157

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, 592) = 219632

GCD(742, 592) = ( 742 x 592 ) / 219632

GCD(742, 592) = 439264 / 219632

GCD(742, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 742, 592, 851, 157 is 1

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1. What is the GCD of 742, 592, 851, 157?

GCD of 742, 592, 851, 157 is 1

2. Where do I get the detailed procedure to find GCD of 742, 592, 851, 157?

You can find a detailed procedure to find GCD of 742, 592, 851, 157 on our page.

3. How to find GCD of 742, 592, 851, 157 on a calculator?

You can find the GCD of 742, 592, 851, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.