GCD of 820, 998, 238, 301 Calculator

Given Input numbers are 820, 998, 238, 301

In the factoring method, we have to find the divisors of all numbers

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (820, 998, 238, 301) = 1.

Given numbers are 820, 998, 238, 301

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 998 are 2 x 499

Prime factors of 238 are 2 x 7 x 17

Prime factors of 301 are 7 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 820, 998, 238, 301

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(820, 998) = 409180

GCD(820, 998) = ( 820 x 998 ) / 409180

= 820 / 998

= 820

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

= 2 / 301

= 2

So, Greatest Common Divisor of 820, 998, 238, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 194, 721, 117
• GCD of 375, 272, 735, 143
• GCD of 228, 686, 829, 837
• GCD of 898, 843, 717, 934
• GCD of 602, 637, 297, 858

Given numbers are 820, 998, 238, 301
The greatest common divisor of numbers 820, 998, 238, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 998, 238, 301 is 1.

1. What is the GCD of 820, 998, 238, 301?

GCD of given numbers 820, 998, 238, 301 is 1

2. How to calculate the greatest common divisor of 820, 998, 238, 301?

We can find the highest common divisor of 820, 998, 238, 301 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 820, 998, 238, 301 i.e 1.

3. How can I use the GCD of 820, 998, 238, 301Calculator?

Out the numbers 820, 998, 238, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.