GCD of 171, 658, 96, 753 Calculator

Given Input numbers are 171, 658, 96, 753

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 171, 658, 96, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 658, 96, 753 is 1.

Therefore, GCD of numbers 171, 658, 96, 753 is 1

Given Input Data is 171, 658, 96, 753

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 753 is 3 x 251

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(171, 658) = 112518

GCD(171, 658) = ( 171 x 658 ) / 112518

GCD(171, 658) = 112518 / 112518

GCD(171, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 171, 658, 96, 753 is 1

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1. What is the GCD of 171, 658, 96, 753?

GCD of 171, 658, 96, 753 is 1

2. Where do I get the detailed procedure to find GCD of 171, 658, 96, 753?

You can find a detailed procedure to find GCD of 171, 658, 96, 753 on our page.

3. How to find GCD of 171, 658, 96, 753 on a calculator?

You can find the GCD of 171, 658, 96, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.