GCD of 749, 168, 40, 532 Calculator

Given Input numbers are 749, 168, 40, 532

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 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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 749, 168, 40, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 168, 40, 532 is 1.

Therefore, GCD of numbers 749, 168, 40, 532 is 1

Given Input Data is 749, 168, 40, 532

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

Prime Factorization of 749 is 7 x 107

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 532 is 2 x 2 x 7 x 19

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, 168) = 17976

GCD(749, 168) = ( 749 x 168 ) / 17976

GCD(749, 168) = 125832 / 17976

GCD(749, 168) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 40

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

LCM(7, 40) = 280

GCD(7, 40) = ( 7 x 40 ) / 280

GCD(7, 40) = 280 / 280

GCD(7, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 749, 168, 40, 532 is 1

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• GCD of 997, 552, 26, 322
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1. What is the GCD of 749, 168, 40, 532?

GCD of 749, 168, 40, 532 is 1

2. Where do I get the detailed procedure to find GCD of 749, 168, 40, 532?

You can find a detailed procedure to find GCD of 749, 168, 40, 532 on our page.

3. How to find GCD of 749, 168, 40, 532 on a calculator?

You can find the GCD of 749, 168, 40, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.