GCD of 898, 761, 72, 642 Calculator

Given Input numbers are 898, 761, 72, 642

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 642

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

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

Greatest Common Divisior

We found the divisors of 898, 761, 72, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 761, 72, 642 is 1.

Therefore, GCD of numbers 898, 761, 72, 642 is 1

Given Input Data is 898, 761, 72, 642

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 761 is 761

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

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(898, 761) = 683378

GCD(898, 761) = ( 898 x 761 ) / 683378

GCD(898, 761) = 683378 / 683378

GCD(898, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 898, 761, 72, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 956, 96, 419
• GCD of 334, 665, 63, 282
• GCD of 231, 393, 82, 398
• GCD of 225, 222, 52, 500
• GCD of 320, 615, 96, 111

1. What is the GCD of 898, 761, 72, 642?

GCD of 898, 761, 72, 642 is 1

2. Where do I get the detailed procedure to find GCD of 898, 761, 72, 642?

You can find a detailed procedure to find GCD of 898, 761, 72, 642 on our page.

3. How to find GCD of 898, 761, 72, 642 on a calculator?

You can find the GCD of 898, 761, 72, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.