GCD of 896, 164, 774, 789 Calculator

Given Input numbers are 896, 164, 774, 789

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (896, 164, 774, 789) = 1.

Given numbers are 896, 164, 774, 789

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 164 are 2 x 2 x 41

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 896, 164, 774, 789

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

Apply this formula for all numbers.

Step1:

LCM(896, 164) = 36736

GCD(896, 164) = ( 896 x 164 ) / 36736

= 896 / 164

= 896

Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

Step3:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2

So, Greatest Common Divisor of 896, 164, 774, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 176, 868, 108
• GCD of 576, 742, 772, 969
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• GCD of 842, 842, 659, 470
• GCD of 473, 260, 122, 284

Given numbers are 896, 164, 774, 789
The greatest common divisor of numbers 896, 164, 774, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 164, 774, 789 is 1.

1. What is the GCD of 896, 164, 774, 789?

GCD of given numbers 896, 164, 774, 789 is 1

2. How to calculate the greatest common divisor of 896, 164, 774, 789?

We can find the highest common divisor of 896, 164, 774, 789 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, 164, 774, 789 i.e 1.

3. How can I use the GCD of 896, 164, 774, 789Calculator?

Out the numbers 896, 164, 774, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.