GCD of 844, 696, 360, 892 Calculator

Given Input numbers are 844, 696, 360, 892

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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 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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (844, 696, 360, 892) = 4.

Given numbers are 844, 696, 360, 892

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

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

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

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2²

Therefore, GCD of 844, 696, 360, 892 is 4.

Given numbers are 844, 696, 360, 892

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

Apply this formula for all numbers.

Step1:

LCM(844, 696) = 146856

GCD(844, 696) = ( 844 x 696 ) / 146856

= 844 / 696

= 844

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

So, Greatest Common Divisor of 844, 696, 360, 892 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 364, 313, 817
• GCD of 495, 814, 329, 343
• GCD of 324, 267, 751, 908
• GCD of 450, 778, 762, 609
• GCD of 151, 700, 900, 690

Given numbers are 844, 696, 360, 892
The greatest common divisor of numbers 844, 696, 360, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 696, 360, 892 is 4.

1. What is the GCD of 844, 696, 360, 892?

GCD of given numbers 844, 696, 360, 892 is 4

2. How to calculate the greatest common divisor of 844, 696, 360, 892?

We can find the highest common divisor of 844, 696, 360, 892 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 844, 696, 360, 892 i.e 4.

3. How can I use the GCD of 844, 696, 360, 892Calculator?

Out the numbers 844, 696, 360, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.