GCD of 989, 427, 514, 984 Calculator

Given Input numbers are 989, 427, 514, 984

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

Divisors of 989 :

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

1, 23, 43, 989

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

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

GCD of numbers is the greatest common divisor

So, the GCD (989, 427, 514, 984) = 1.

Given numbers are 989, 427, 514, 984

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 427 are 7 x 61

Prime factors of 514 are 2 x 257

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

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

Given numbers are 989, 427, 514, 984

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

Apply this formula for all numbers.

Step1:

LCM(989, 427) = 422303

GCD(989, 427) = ( 989 x 427 ) / 422303

= 989 / 427

= 989

Step2:

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

= 1 / 514

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 989, 427, 514, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 549, 498, 323
• GCD of 627, 245, 938, 118
• GCD of 718, 351, 383, 675
• GCD of 263, 596, 245, 798
• GCD of 533, 276, 493, 900

Given numbers are 989, 427, 514, 984
The greatest common divisor of numbers 989, 427, 514, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 427, 514, 984 is 1.

1. What is the GCD of 989, 427, 514, 984?

GCD of given numbers 989, 427, 514, 984 is 1

2. How to calculate the greatest common divisor of 989, 427, 514, 984?

We can find the highest common divisor of 989, 427, 514, 984 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 989, 427, 514, 984 i.e 1.

3. How can I use the GCD of 989, 427, 514, 984Calculator?

Out the numbers 989, 427, 514, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.