GCD of 420, 419, 98, 362 Calculator

Given Input numbers are 420, 419, 98, 362

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 420, 419, 98, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 419, 98, 362 is 1.

Therefore, GCD of numbers 420, 419, 98, 362 is 1

Given Input Data is 420, 419, 98, 362

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 419 is 419

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 362 is 2 x 181

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(420, 419) = 175980

GCD(420, 419) = ( 420 x 419 ) / 175980

GCD(420, 419) = 175980 / 175980

GCD(420, 419) = 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 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 420, 419, 98, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 193, 27, 187
• GCD of 555, 339, 71, 171
• GCD of 224, 467, 17, 437
• GCD of 722, 799, 81, 182
• GCD of 936, 769, 95, 654

1. What is the GCD of 420, 419, 98, 362?

GCD of 420, 419, 98, 362 is 1

2. Where do I get the detailed procedure to find GCD of 420, 419, 98, 362?

You can find a detailed procedure to find GCD of 420, 419, 98, 362 on our page.

3. How to find GCD of 420, 419, 98, 362 on a calculator?

You can find the GCD of 420, 419, 98, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.