GCD of 747, 138, 597, 535 Calculator

Given Input numbers are 747, 138, 597, 535

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 747, 138, 597, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 138, 597, 535 is 1.

Therefore, GCD of numbers 747, 138, 597, 535 is 1

Given Input Data is 747, 138, 597, 535

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 597 is 3 x 199

Prime Factorization of 535 is 5 x 107

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(747, 138) = 34362

GCD(747, 138) = ( 747 x 138 ) / 34362

GCD(747, 138) = 103086 / 34362

GCD(747, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 597

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

LCM(3, 597) = 597

GCD(3, 597) = ( 3 x 597 ) / 597

GCD(3, 597) = 1791 / 597

GCD(3, 597) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 535

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

LCM(3, 535) = 1605

GCD(3, 535) = ( 3 x 535 ) / 1605

GCD(3, 535) = 1605 / 1605

GCD(3, 535) = 1

GCD of 747, 138, 597, 535 is 1

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• GCD of 159, 762, 326, 105
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1. What is the GCD of 747, 138, 597, 535?

GCD of 747, 138, 597, 535 is 1

2. Where do I get the detailed procedure to find GCD of 747, 138, 597, 535?

You can find a detailed procedure to find GCD of 747, 138, 597, 535 on our page.

3. How to find GCD of 747, 138, 597, 535 on a calculator?

You can find the GCD of 747, 138, 597, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.