GCD of 178, 160, 91, 364 Calculator

Given Input numbers are 178, 160, 91, 364

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 178, 160, 91, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 160, 91, 364 is 1.

Therefore, GCD of numbers 178, 160, 91, 364 is 1

Given Input Data is 178, 160, 91, 364

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 91 is 7 x 13

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(178, 160) = 14240

GCD(178, 160) = ( 178 x 160 ) / 14240

GCD(178, 160) = 28480 / 14240

GCD(178, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 178, 160, 91, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 792, 58, 662
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• GCD of 832, 948, 57, 836
• GCD of 734, 957, 61, 225
• GCD of 460, 251, 46, 996

1. What is the GCD of 178, 160, 91, 364?

GCD of 178, 160, 91, 364 is 1

2. Where do I get the detailed procedure to find GCD of 178, 160, 91, 364?

You can find a detailed procedure to find GCD of 178, 160, 91, 364 on our page.

3. How to find GCD of 178, 160, 91, 364 on a calculator?

You can find the GCD of 178, 160, 91, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.