GCD of 998, 872, 240, 821 Calculator

Given Input numbers are 998, 872, 240, 821

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (998, 872, 240, 821) = 1.

Given numbers are 998, 872, 240, 821

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 821 are 821

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

Given numbers are 998, 872, 240, 821

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

Apply this formula for all numbers.

Step1:

LCM(998, 872) = 435128

GCD(998, 872) = ( 998 x 872 ) / 435128

= 998 / 872

= 998

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

So, Greatest Common Divisor of 998, 872, 240, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 907, 790, 824
• GCD of 430, 319, 406, 676
• GCD of 456, 530, 219, 147
• GCD of 700, 443, 783, 741
• GCD of 126, 228, 462, 346

Given numbers are 998, 872, 240, 821
The greatest common divisor of numbers 998, 872, 240, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 872, 240, 821 is 1.

1. What is the GCD of 998, 872, 240, 821?

GCD of given numbers 998, 872, 240, 821 is 1

2. How to calculate the greatest common divisor of 998, 872, 240, 821?

We can find the highest common divisor of 998, 872, 240, 821 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 998, 872, 240, 821 i.e 1.

3. How can I use the GCD of 998, 872, 240, 821Calculator?

Out the numbers 998, 872, 240, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.