GCD of 105, 153, 373, 332 Calculator

Given Input numbers are 105, 153, 373, 332

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 105, 153, 373, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 153, 373, 332 is 1.

Therefore, GCD of numbers 105, 153, 373, 332 is 1

Given Input Data is 105, 153, 373, 332

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 373 is 373

Prime Factorization of 332 is 2 x 2 x 83

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(105, 153) = 5355

GCD(105, 153) = ( 105 x 153 ) / 5355

GCD(105, 153) = 16065 / 5355

GCD(105, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 373

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

LCM(3, 373) = 1119

GCD(3, 373) = ( 3 x 373 ) / 1119

GCD(3, 373) = 1119 / 1119

GCD(3, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 105, 153, 373, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 669, 906, 251
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1. What is the GCD of 105, 153, 373, 332?

GCD of 105, 153, 373, 332 is 1

2. Where do I get the detailed procedure to find GCD of 105, 153, 373, 332?

You can find a detailed procedure to find GCD of 105, 153, 373, 332 on our page.

3. How to find GCD of 105, 153, 373, 332 on a calculator?

You can find the GCD of 105, 153, 373, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.