GCD of 796, 360, 574, 446 Calculator

Given Input numbers are 796, 360, 574, 446

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (796, 360, 574, 446) = 2.

Given numbers are 796, 360, 574, 446

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 796, 360, 574, 446 is 2.

Given numbers are 796, 360, 574, 446

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

Apply this formula for all numbers.

Step1:

LCM(796, 360) = 71640

GCD(796, 360) = ( 796 x 360 ) / 71640

= 796 / 360

= 796

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 796, 360, 574, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 896, 926, 918
• GCD of 433, 123, 750, 880
• GCD of 690, 991, 706, 635
• GCD of 158, 725, 962, 417
• GCD of 550, 446, 568, 881

Given numbers are 796, 360, 574, 446
The greatest common divisor of numbers 796, 360, 574, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 360, 574, 446 is 2.

1. What is the GCD of 796, 360, 574, 446?

GCD of given numbers 796, 360, 574, 446 is 2

2. How to calculate the greatest common divisor of 796, 360, 574, 446?

We can find the highest common divisor of 796, 360, 574, 446 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 796, 360, 574, 446 i.e 2.

3. How can I use the GCD of 796, 360, 574, 446Calculator?

Out the numbers 796, 360, 574, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.