GCD of 360, 676, 898, 728 Calculator

Given Input numbers are 360, 676, 898, 728

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 (360, 676, 898, 728) = 2.

Given numbers are 360, 676, 898, 728

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

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 360, 676, 898, 728 is 2.

Given numbers are 360, 676, 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(360, 676) = 60840

GCD(360, 676) = ( 360 x 676 ) / 60840

= 360 / 676

= 360

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 728) = 728

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

= 2 / 728

= 2

So, Greatest Common Divisor of 360, 676, 898, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 838, 640, 276
• GCD of 503, 470, 189, 564
• GCD of 412, 759, 184, 796
• GCD of 155, 932, 738, 130
• GCD of 875, 145, 625, 747

Given numbers are 360, 676, 898, 728
The greatest common divisor of numbers 360, 676, 898, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 676, 898, 728 is 2.

1. What is the GCD of 360, 676, 898, 728?

GCD of given numbers 360, 676, 898, 728 is 2

2. How to calculate the greatest common divisor of 360, 676, 898, 728?

We can find the highest common divisor of 360, 676, 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 360, 676, 898, 728 i.e 2.

3. How can I use the GCD of 360, 676, 898, 728Calculator?

Out the numbers 360, 676, 898, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.