GCD of 153, 308, 91, 172 Calculator

Given Input numbers are 153, 308, 91, 172

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 91

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

1, 7, 13, 91

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 153, 308, 91, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 308, 91, 172 is 1.

Therefore, GCD of numbers 153, 308, 91, 172 is 1

Given Input Data is 153, 308, 91, 172

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 172 is 2 x 2 x 43

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(153, 308) = 47124

GCD(153, 308) = ( 153 x 308 ) / 47124

GCD(153, 308) = 47124 / 47124

GCD(153, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 153, 308, 91, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 237, 94, 256
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• GCD of 621, 531, 90, 868
• GCD of 249, 520, 66, 547
• GCD of 933, 363, 21, 200

1. What is the GCD of 153, 308, 91, 172?

GCD of 153, 308, 91, 172 is 1

2. Where do I get the detailed procedure to find GCD of 153, 308, 91, 172?

You can find a detailed procedure to find GCD of 153, 308, 91, 172 on our page.

3. How to find GCD of 153, 308, 91, 172 on a calculator?

You can find the GCD of 153, 308, 91, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.