GCD of 748, 137, 535, 599 Calculator

Given Input numbers are 748, 137, 535, 599

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 535

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

1, 5, 107, 535

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 748, 137, 535, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 137, 535, 599 is 1.

Therefore, GCD of numbers 748, 137, 535, 599 is 1

Given Input Data is 748, 137, 535, 599

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 137 is 137

Prime Factorization of 535 is 5 x 107

Prime Factorization of 599 is 599

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(748, 137) = 102476

GCD(748, 137) = ( 748 x 137 ) / 102476

GCD(748, 137) = 102476 / 102476

GCD(748, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

GCD of 748, 137, 535, 599 is 1

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1. What is the GCD of 748, 137, 535, 599?

GCD of 748, 137, 535, 599 is 1

2. Where do I get the detailed procedure to find GCD of 748, 137, 535, 599?

You can find a detailed procedure to find GCD of 748, 137, 535, 599 on our page.

3. How to find GCD of 748, 137, 535, 599 on a calculator?

You can find the GCD of 748, 137, 535, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.