GCD of 306, 370, 757, 407 Calculator

Given Input numbers are 306, 370, 757, 407

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 306, 370, 757, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 370, 757, 407 is 1.

Therefore, GCD of numbers 306, 370, 757, 407 is 1

Given Input Data is 306, 370, 757, 407

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 757 is 757

Prime Factorization of 407 is 11 x 37

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(306, 370) = 56610

GCD(306, 370) = ( 306 x 370 ) / 56610

GCD(306, 370) = 113220 / 56610

GCD(306, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 306, 370, 757, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 874, 619, 622
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• GCD of 244, 160, 114, 867
• GCD of 973, 914, 131, 758

1. What is the GCD of 306, 370, 757, 407?

GCD of 306, 370, 757, 407 is 1

2. Where do I get the detailed procedure to find GCD of 306, 370, 757, 407?

You can find a detailed procedure to find GCD of 306, 370, 757, 407 on our page.

3. How to find GCD of 306, 370, 757, 407 on a calculator?

You can find the GCD of 306, 370, 757, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.