GCD of 696, 221, 169, 900 Calculator

Given Input numbers are 696, 221, 169, 900

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (696, 221, 169, 900) = 1.

Given numbers are 696, 221, 169, 900

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 221 are 13 x 17

Prime factors of 169 are 13 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 696, 221, 169, 900

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

Apply this formula for all numbers.

Step1:

LCM(696, 221) = 153816

GCD(696, 221) = ( 696 x 221 ) / 153816

= 696 / 221

= 696

Step2:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 696, 221, 169, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 113, 816, 432
• GCD of 607, 406, 467, 209
• GCD of 774, 149, 886, 629
• GCD of 261, 845, 244, 521
• GCD of 378, 239, 517, 872

Given numbers are 696, 221, 169, 900
The greatest common divisor of numbers 696, 221, 169, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 221, 169, 900 is 1.

1. What is the GCD of 696, 221, 169, 900?

GCD of given numbers 696, 221, 169, 900 is 1

2. How to calculate the greatest common divisor of 696, 221, 169, 900?

We can find the highest common divisor of 696, 221, 169, 900 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 696, 221, 169, 900 i.e 1.

3. How can I use the GCD of 696, 221, 169, 900Calculator?

Out the numbers 696, 221, 169, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.