GCD of 322, 220, 475, 998 Calculator

Given Input numbers are 322, 220, 475, 998

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (322, 220, 475, 998) = 1.

Given numbers are 322, 220, 475, 998

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 475 are 5 x 5 x 19

Prime factors of 998 are 2 x 499

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

Given numbers are 322, 220, 475, 998

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

Apply this formula for all numbers.

Step1:

LCM(322, 220) = 35420

GCD(322, 220) = ( 322 x 220 ) / 35420

= 322 / 220

= 322

Step2:

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

= 2 / 475

= 2

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 322, 220, 475, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 431, 302, 309
• GCD of 573, 660, 929, 808
• GCD of 973, 659, 126, 645
• GCD of 284, 770, 103, 963
• GCD of 826, 199, 290, 133

Given numbers are 322, 220, 475, 998
The greatest common divisor of numbers 322, 220, 475, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 220, 475, 998 is 1.

1. What is the GCD of 322, 220, 475, 998?

GCD of given numbers 322, 220, 475, 998 is 1

2. How to calculate the greatest common divisor of 322, 220, 475, 998?

We can find the highest common divisor of 322, 220, 475, 998 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 322, 220, 475, 998 i.e 1.

3. How can I use the GCD of 322, 220, 475, 998Calculator?

Out the numbers 322, 220, 475, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.