GCD of 772, 208, 896, 189 Calculator

Given Input numbers are 772, 208, 896, 189

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (772, 208, 896, 189) = 1.

Given numbers are 772, 208, 896, 189

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 772, 208, 896, 189

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

Apply this formula for all numbers.

Step1:

LCM(772, 208) = 40144

GCD(772, 208) = ( 772 x 208 ) / 40144

= 772 / 208

= 772

Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

Step3:

LCM(4, 189) = 756

GCD(4, 189) = ( 4 x 189 ) / 756

= 4 / 189

= 4

So, Greatest Common Divisor of 772, 208, 896, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 275, 237, 635
• GCD of 645, 180, 580, 495
• GCD of 521, 339, 673, 691
• GCD of 265, 452, 845, 528
• GCD of 757, 381, 138, 829

Given numbers are 772, 208, 896, 189
The greatest common divisor of numbers 772, 208, 896, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 208, 896, 189 is 1.

1. What is the GCD of 772, 208, 896, 189?

GCD of given numbers 772, 208, 896, 189 is 1

2. How to calculate the greatest common divisor of 772, 208, 896, 189?

We can find the highest common divisor of 772, 208, 896, 189 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 772, 208, 896, 189 i.e 1.

3. How can I use the GCD of 772, 208, 896, 189Calculator?

Out the numbers 772, 208, 896, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.