GCD of 302, 268, 53, 737 Calculator

Given Input numbers are 302, 268, 53, 737

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

Divisors of 302

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

1, 2, 151, 302

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 302, 268, 53, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 268, 53, 737 is 1.

Therefore, GCD of numbers 302, 268, 53, 737 is 1

Given Input Data is 302, 268, 53, 737

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 53 is 53

Prime Factorization of 737 is 11 x 67

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(302, 268) = 40468

GCD(302, 268) = ( 302 x 268 ) / 40468

GCD(302, 268) = 80936 / 40468

GCD(302, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 302, 268, 53, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 738, 35, 325
• GCD of 542, 795, 23, 578
• GCD of 273, 462, 59, 579
• GCD of 411, 532, 11, 361
• GCD of 713, 448, 87, 907

1. What is the GCD of 302, 268, 53, 737?

GCD of 302, 268, 53, 737 is 1

2. Where do I get the detailed procedure to find GCD of 302, 268, 53, 737?

You can find a detailed procedure to find GCD of 302, 268, 53, 737 on our page.

3. How to find GCD of 302, 268, 53, 737 on a calculator?

You can find the GCD of 302, 268, 53, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.