GCD of 384, 177, 708, 989 Calculator

Given Input numbers are 384, 177, 708, 989

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (384, 177, 708, 989) = 1.

Given numbers are 384, 177, 708, 989

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 177 are 3 x 59

Prime factors of 708 are 2 x 2 x 3 x 59

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 384, 177, 708, 989

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

Apply this formula for all numbers.

Step1:

LCM(384, 177) = 22656

GCD(384, 177) = ( 384 x 177 ) / 22656

= 384 / 177

= 384

Step2:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

Step3:

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

= 3 / 989

= 3

So, Greatest Common Divisor of 384, 177, 708, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 632, 344, 150
• GCD of 323, 809, 774, 413
• GCD of 955, 453, 271, 656
• GCD of 978, 306, 995, 187
• GCD of 993, 640, 419, 384

Given numbers are 384, 177, 708, 989
The greatest common divisor of numbers 384, 177, 708, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 177, 708, 989 is 1.

1. What is the GCD of 384, 177, 708, 989?

GCD of given numbers 384, 177, 708, 989 is 1

2. How to calculate the greatest common divisor of 384, 177, 708, 989?

We can find the highest common divisor of 384, 177, 708, 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 384, 177, 708, 989 i.e 1.

3. How can I use the GCD of 384, 177, 708, 989Calculator?

Out the numbers 384, 177, 708, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.