GCD of 37, 310, 202, 748 Calculator

Given Input numbers are 37, 310, 202, 748

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

Divisors of 37

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

1, 37

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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 37, 310, 202, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 310, 202, 748 is 1.

Therefore, GCD of numbers 37, 310, 202, 748 is 1

Given Input Data is 37, 310, 202, 748

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

Prime Factorization of 37 is 37

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 202 is 2 x 101

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(37, 310) = 11470

GCD(37, 310) = ( 37 x 310 ) / 11470

GCD(37, 310) = 11470 / 11470

GCD(37, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 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 37, 310, 202, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 957, 448, 119
• GCD of 11, 239, 199, 414
• GCD of 49, 549, 918, 930
• GCD of 48, 653, 514, 888
• GCD of 93, 805, 715, 580

1. What is the GCD of 37, 310, 202, 748?

GCD of 37, 310, 202, 748 is 1

2. Where do I get the detailed procedure to find GCD of 37, 310, 202, 748?

You can find a detailed procedure to find GCD of 37, 310, 202, 748 on our page.

3. How to find GCD of 37, 310, 202, 748 on a calculator?

You can find the GCD of 37, 310, 202, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.