GCD of 168, 932, 772, 758 Calculator

Given Input numbers are 168, 932, 772, 758

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 168, 932, 772, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 932, 772, 758 is 2.

Therefore, GCD of numbers 168, 932, 772, 758 is 2

Given Input Data is 168, 932, 772, 758

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 758 is 2 x 379

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(168, 932) = 39144

GCD(168, 932) = ( 168 x 932 ) / 39144

GCD(168, 932) = 156576 / 39144

GCD(168, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 772

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

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

GCD(4, 772) = 3088 / 772

GCD(4, 772) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 758

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

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

GCD(4, 758) = 3032 / 1516

GCD(4, 758) = 2

GCD of 168, 932, 772, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 303, 753, 889
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• GCD of 656, 344, 745, 730

1. What is the GCD of 168, 932, 772, 758?

GCD of 168, 932, 772, 758 is 2

2. Where do I get the detailed procedure to find GCD of 168, 932, 772, 758?

You can find a detailed procedure to find GCD of 168, 932, 772, 758 on our page.

3. How to find GCD of 168, 932, 772, 758 on a calculator?

You can find the GCD of 168, 932, 772, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.