GCD of 642, 653, 96, 146 Calculator

Given Input numbers are 642, 653, 96, 146

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 642, 653, 96, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 653, 96, 146 is 1.

Therefore, GCD of numbers 642, 653, 96, 146 is 1

Given Input Data is 642, 653, 96, 146

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 653 is 653

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

Prime Factorization of 146 is 2 x 73

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(642, 653) = 419226

GCD(642, 653) = ( 642 x 653 ) / 419226

GCD(642, 653) = 419226 / 419226

GCD(642, 653) = 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 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 642, 653, 96, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 296, 60, 924
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• GCD of 391, 428, 10, 996
• GCD of 524, 506, 76, 411
• GCD of 341, 882, 59, 465

1. What is the GCD of 642, 653, 96, 146?

GCD of 642, 653, 96, 146 is 1

2. Where do I get the detailed procedure to find GCD of 642, 653, 96, 146?

You can find a detailed procedure to find GCD of 642, 653, 96, 146 on our page.

3. How to find GCD of 642, 653, 96, 146 on a calculator?

You can find the GCD of 642, 653, 96, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.