GCD of 987, 198, 765, 989 Calculator

Given Input numbers are 987, 198, 765, 989

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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 (987, 198, 765, 989) = 1.

Given numbers are 987, 198, 765, 989

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 765 are 3 x 3 x 5 x 17

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 987, 198, 765, 989

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

Apply this formula for all numbers.

Step1:

LCM(987, 198) = 65142

GCD(987, 198) = ( 987 x 198 ) / 65142

= 987 / 198

= 987

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

Step3:

LCM(3, 989) = 2967

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

= 3 / 989

= 3

So, Greatest Common Divisor of 987, 198, 765, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 982, 829, 223
• GCD of 693, 327, 114, 753
• GCD of 735, 674, 445, 540
• GCD of 658, 320, 419, 832
• GCD of 878, 782, 596, 578

Given numbers are 987, 198, 765, 989
The greatest common divisor of numbers 987, 198, 765, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 198, 765, 989 is 1.

1. What is the GCD of 987, 198, 765, 989?

GCD of given numbers 987, 198, 765, 989 is 1

2. How to calculate the greatest common divisor of 987, 198, 765, 989?

We can find the highest common divisor of 987, 198, 765, 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 987, 198, 765, 989 i.e 1.

3. How can I use the GCD of 987, 198, 765, 989Calculator?

Out the numbers 987, 198, 765, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.