GCD of 407, 368, 954, 737 Calculator

Given Input numbers are 407, 368, 954, 737

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 407, 368, 954, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 368, 954, 737 is 1.

Therefore, GCD of numbers 407, 368, 954, 737 is 1

Given Input Data is 407, 368, 954, 737

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 954 is 2 x 3 x 3 x 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(407, 368) = 149776

GCD(407, 368) = ( 407 x 368 ) / 149776

GCD(407, 368) = 149776 / 149776

GCD(407, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 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 407, 368, 954, 737 is 1

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1. What is the GCD of 407, 368, 954, 737?

GCD of 407, 368, 954, 737 is 1

2. Where do I get the detailed procedure to find GCD of 407, 368, 954, 737?

You can find a detailed procedure to find GCD of 407, 368, 954, 737 on our page.

3. How to find GCD of 407, 368, 954, 737 on a calculator?

You can find the GCD of 407, 368, 954, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.