GCD of 176, 157, 730, 414 Calculator

Given Input numbers are 176, 157, 730, 414

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 176, 157, 730, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 157, 730, 414 is 1.

Therefore, GCD of numbers 176, 157, 730, 414 is 1

Given Input Data is 176, 157, 730, 414

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 157 is 157

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(176, 157) = 27632

GCD(176, 157) = ( 176 x 157 ) / 27632

GCD(176, 157) = 27632 / 27632

GCD(176, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 176, 157, 730, 414 is 1

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1. What is the GCD of 176, 157, 730, 414?

GCD of 176, 157, 730, 414 is 1

2. Where do I get the detailed procedure to find GCD of 176, 157, 730, 414?

You can find a detailed procedure to find GCD of 176, 157, 730, 414 on our page.

3. How to find GCD of 176, 157, 730, 414 on a calculator?

You can find the GCD of 176, 157, 730, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.