GCD of 220, 289, 16, 829 Calculator

Given Input numbers are 220, 289, 16, 829

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

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (220, 289, 16, 829) = 1.

Given numbers are 220, 289, 16, 829

The list of prime factors of all numbers are

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

Prime factors of 289 are 17 x 17

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 829 are 829

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

Given numbers are 220, 289, 16, 829

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

Apply this formula for all numbers.

Step1:

LCM(220, 289) = 63580

GCD(220, 289) = ( 220 x 289 ) / 63580

= 220 / 289

= 220

Step2:

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

= 1 / 16

= 1

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 220, 289, 16, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 495, 18, 973
• GCD of 451, 917, 73, 529
• GCD of 992, 991, 58, 366
• GCD of 382, 185, 79, 805
• GCD of 544, 946, 61, 391

Given numbers are 220, 289, 16, 829
The greatest common divisor of numbers 220, 289, 16, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 289, 16, 829 is 1.

1. What is the GCD of 220, 289, 16, 829?

GCD of given numbers 220, 289, 16, 829 is 1

2. How to calculate the greatest common divisor of 220, 289, 16, 829?

We can find the highest common divisor of 220, 289, 16, 829 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 220, 289, 16, 829 i.e 1.

3. How can I use the GCD of 220, 289, 16, 829Calculator?

Out the numbers 220, 289, 16, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.