GCD of 512, 360, 196, 846 Calculator

Given Input numbers are 512, 360, 196, 846

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (512, 360, 196, 846) = 2.

Given numbers are 512, 360, 196, 846

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 512, 360, 196, 846 is 2.

Given numbers are 512, 360, 196, 846

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

Apply this formula for all numbers.

Step1:

LCM(512, 360) = 23040

GCD(512, 360) = ( 512 x 360 ) / 23040

= 512 / 360

= 512

Step2:

LCM(8, 196) = 392

GCD(8, 196) = ( 8 x 196 ) / 392

= 8 / 196

= 8

Step3:

LCM(4, 846) = 1692

GCD(4, 846) = ( 4 x 846 ) / 1692

= 4 / 846

= 4

So, Greatest Common Divisor of 512, 360, 196, 846 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 871, 305, 979
• GCD of 768, 282, 875, 594
• GCD of 250, 788, 401, 794
• GCD of 481, 959, 724, 871
• GCD of 673, 225, 361, 246

Given numbers are 512, 360, 196, 846
The greatest common divisor of numbers 512, 360, 196, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 360, 196, 846 is 2.

1. What is the GCD of 512, 360, 196, 846?

GCD of given numbers 512, 360, 196, 846 is 2

2. How to calculate the greatest common divisor of 512, 360, 196, 846?

We can find the highest common divisor of 512, 360, 196, 846 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 512, 360, 196, 846 i.e 2.

3. How can I use the GCD of 512, 360, 196, 846Calculator?

Out the numbers 512, 360, 196, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.