GCD of 536, 973, 807, 748 Calculator

Given Input numbers are 536, 973, 807, 748

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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

Greatest Common Divisior

We found the divisors of 536, 973, 807, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 973, 807, 748 is 1.

Therefore, GCD of numbers 536, 973, 807, 748 is 1

Given Input Data is 536, 973, 807, 748

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 973 is 7 x 139

Prime Factorization of 807 is 3 x 269

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

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(536, 973) = 521528

GCD(536, 973) = ( 536 x 973 ) / 521528

GCD(536, 973) = 521528 / 521528

GCD(536, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 536, 973, 807, 748 is 1

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1. What is the GCD of 536, 973, 807, 748?

GCD of 536, 973, 807, 748 is 1

2. Where do I get the detailed procedure to find GCD of 536, 973, 807, 748?

You can find a detailed procedure to find GCD of 536, 973, 807, 748 on our page.

3. How to find GCD of 536, 973, 807, 748 on a calculator?

You can find the GCD of 536, 973, 807, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.