GCD of 896, 364, 442, 712 Calculator

Given Input numbers are 896, 364, 442, 712

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (896, 364, 442, 712) = 2.

Given numbers are 896, 364, 442, 712

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 364 are 2 x 2 x 7 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 896, 364, 442, 712 is 2.

Given numbers are 896, 364, 442, 712

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

Apply this formula for all numbers.

Step1:

LCM(896, 364) = 11648

GCD(896, 364) = ( 896 x 364 ) / 11648

= 896 / 364

= 896

Step2:

LCM(28, 442) = 6188

GCD(28, 442) = ( 28 x 442 ) / 6188

= 28 / 442

= 28

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 896, 364, 442, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 590, 223, 347
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Given numbers are 896, 364, 442, 712
The greatest common divisor of numbers 896, 364, 442, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 364, 442, 712 is 2.

1. What is the GCD of 896, 364, 442, 712?

GCD of given numbers 896, 364, 442, 712 is 2

2. How to calculate the greatest common divisor of 896, 364, 442, 712?

We can find the highest common divisor of 896, 364, 442, 712 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, 364, 442, 712 i.e 2.

3. How can I use the GCD of 896, 364, 442, 712Calculator?

Out the numbers 896, 364, 442, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.