GCD of 748, 302, 37, 893 Calculator

Given Input numbers are 748, 302, 37, 893

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 748, 302, 37, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 302, 37, 893 is 1.

Therefore, GCD of numbers 748, 302, 37, 893 is 1

Given Input Data is 748, 302, 37, 893

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 302 is 2 x 151

Prime Factorization of 37 is 37

Prime Factorization of 893 is 19 x 47

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, 302) = 112948

GCD(748, 302) = ( 748 x 302 ) / 112948

GCD(748, 302) = 225896 / 112948

GCD(748, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 748, 302, 37, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 593, 43, 756
• GCD of 186, 144, 63, 357
• GCD of 928, 950, 59, 428
• GCD of 547, 137, 29, 881
• GCD of 700, 391, 16, 331

1. What is the GCD of 748, 302, 37, 893?

GCD of 748, 302, 37, 893 is 1

2. Where do I get the detailed procedure to find GCD of 748, 302, 37, 893?

You can find a detailed procedure to find GCD of 748, 302, 37, 893 on our page.

3. How to find GCD of 748, 302, 37, 893 on a calculator?

You can find the GCD of 748, 302, 37, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.