GCD of 242, 696, 898, 728 Calculator

Given Input numbers are 242, 696, 898, 728

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (242, 696, 898, 728) = 2.

Given numbers are 242, 696, 898, 728

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 898 are 2 x 449

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 242, 696, 898, 728 is 2.

Given numbers are 242, 696, 898, 728

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

Apply this formula for all numbers.

Step1:

LCM(242, 696) = 84216

GCD(242, 696) = ( 242 x 696 ) / 84216

= 242 / 696

= 242

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 242, 696, 898, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 719, 238, 445
• GCD of 197, 828, 165, 404
• GCD of 849, 884, 979, 197
• GCD of 728, 180, 428, 383
• GCD of 636, 878, 735, 405

Given numbers are 242, 696, 898, 728
The greatest common divisor of numbers 242, 696, 898, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 696, 898, 728 is 2.

1. What is the GCD of 242, 696, 898, 728?

GCD of given numbers 242, 696, 898, 728 is 2

2. How to calculate the greatest common divisor of 242, 696, 898, 728?

We can find the highest common divisor of 242, 696, 898, 728 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 242, 696, 898, 728 i.e 2.

3. How can I use the GCD of 242, 696, 898, 728Calculator?

Out the numbers 242, 696, 898, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.