GCD of 984, 682, 789, 400 Calculator

Given Input numbers are 984, 682, 789, 400

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (984, 682, 789, 400) = 1.

Given numbers are 984, 682, 789, 400

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 682 are 2 x 11 x 31

Prime factors of 789 are 3 x 263

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 984, 682, 789, 400

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

Apply this formula for all numbers.

Step1:

LCM(984, 682) = 335544

GCD(984, 682) = ( 984 x 682 ) / 335544

= 984 / 682

= 984

Step2:

LCM(2, 789) = 1578

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

= 2 / 789

= 2

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 984, 682, 789, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 996, 719, 372
• GCD of 328, 563, 962, 721
• GCD of 526, 991, 187, 876
• GCD of 646, 139, 501, 333
• GCD of 496, 118, 394, 215

Given numbers are 984, 682, 789, 400
The greatest common divisor of numbers 984, 682, 789, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 682, 789, 400 is 1.

1. What is the GCD of 984, 682, 789, 400?

GCD of given numbers 984, 682, 789, 400 is 1

2. How to calculate the greatest common divisor of 984, 682, 789, 400?

We can find the highest common divisor of 984, 682, 789, 400 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 984, 682, 789, 400 i.e 1.

3. How can I use the GCD of 984, 682, 789, 400Calculator?

Out the numbers 984, 682, 789, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.