GCD of 896, 684, 782, 212 Calculator

Given Input numbers are 896, 684, 782, 212

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (896, 684, 782, 212) = 2.

Given numbers are 896, 684, 782, 212

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 782 are 2 x 17 x 23

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 896, 684, 782, 212 is 2.

Given numbers are 896, 684, 782, 212

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

Apply this formula for all numbers.

Step1:

LCM(896, 684) = 153216

GCD(896, 684) = ( 896 x 684 ) / 153216

= 896 / 684

= 896

Step2:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

So, Greatest Common Divisor of 896, 684, 782, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 861, 752, 346
• GCD of 357, 514, 940, 418
• GCD of 879, 470, 211, 908
• GCD of 600, 860, 450, 237
• GCD of 666, 401, 936, 905

Given numbers are 896, 684, 782, 212
The greatest common divisor of numbers 896, 684, 782, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 684, 782, 212 is 2.

1. What is the GCD of 896, 684, 782, 212?

GCD of given numbers 896, 684, 782, 212 is 2

2. How to calculate the greatest common divisor of 896, 684, 782, 212?

We can find the highest common divisor of 896, 684, 782, 212 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 896, 684, 782, 212 i.e 2.

3. How can I use the GCD of 896, 684, 782, 212Calculator?

Out the numbers 896, 684, 782, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.