GCD of 407, 757, 50, 740 Calculator

Given Input numbers are 407, 757, 50, 740

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

Divisors of 407

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

1, 11, 37, 407

Divisors of 757

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

1, 757

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 407, 757, 50, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 757, 50, 740 is 1.

Therefore, GCD of numbers 407, 757, 50, 740 is 1

Given Input Data is 407, 757, 50, 740

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 757 is 757

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 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(407, 757) = 308099

GCD(407, 757) = ( 407 x 757 ) / 308099

GCD(407, 757) = 308099 / 308099

GCD(407, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 407, 757, 50, 740 is 1

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1. What is the GCD of 407, 757, 50, 740?

GCD of 407, 757, 50, 740 is 1

2. Where do I get the detailed procedure to find GCD of 407, 757, 50, 740?

You can find a detailed procedure to find GCD of 407, 757, 50, 740 on our page.

3. How to find GCD of 407, 757, 50, 740 on a calculator?

You can find the GCD of 407, 757, 50, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.