GCD of 918, 521, 98, 142 Calculator

Given Input numbers are 918, 521, 98, 142

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 918, 521, 98, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 521, 98, 142 is 1.

Therefore, GCD of numbers 918, 521, 98, 142 is 1

Given Input Data is 918, 521, 98, 142

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 521 is 521

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 142 is 2 x 71

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(918, 521) = 478278

GCD(918, 521) = ( 918 x 521 ) / 478278

GCD(918, 521) = 478278 / 478278

GCD(918, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 918, 521, 98, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 624, 89, 627
• GCD of 301, 960, 88, 395
• GCD of 772, 731, 54, 489
• GCD of 512, 162, 28, 637
• GCD of 132, 625, 77, 605

1. What is the GCD of 918, 521, 98, 142?

GCD of 918, 521, 98, 142 is 1

2. Where do I get the detailed procedure to find GCD of 918, 521, 98, 142?

You can find a detailed procedure to find GCD of 918, 521, 98, 142 on our page.

3. How to find GCD of 918, 521, 98, 142 on a calculator?

You can find the GCD of 918, 521, 98, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.