GCD of 772, 256, 404, 989 Calculator

Given Input numbers are 772, 256, 404, 989

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 256 :

The positive integer divisors of 256 that completely divides 256 are.

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (772, 256, 404, 989) = 1.

Given numbers are 772, 256, 404, 989

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 404 are 2 x 2 x 101

Prime factors of 989 are 23 x 43

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

Given numbers are 772, 256, 404, 989

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

Apply this formula for all numbers.

Step1:

LCM(772, 256) = 49408

GCD(772, 256) = ( 772 x 256 ) / 49408

= 772 / 256

= 772

Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4

Step3:

LCM(4, 989) = 3956

GCD(4, 989) = ( 4 x 989 ) / 3956

= 4 / 989

= 4

So, Greatest Common Divisor of 772, 256, 404, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 386, 186, 941
• GCD of 338, 851, 314, 118
• GCD of 255, 810, 431, 113
• GCD of 164, 926, 594, 466
• GCD of 207, 681, 327, 346

Given numbers are 772, 256, 404, 989
The greatest common divisor of numbers 772, 256, 404, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 256, 404, 989 is 1.

1. What is the GCD of 772, 256, 404, 989?

GCD of given numbers 772, 256, 404, 989 is 1

2. How to calculate the greatest common divisor of 772, 256, 404, 989?

We can find the highest common divisor of 772, 256, 404, 989 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, 256, 404, 989 i.e 1.

3. How can I use the GCD of 772, 256, 404, 989Calculator?

Out the numbers 772, 256, 404, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.