GCD of 987, 678, 909, 800 Calculator

Given Input numbers are 987, 678, 909, 800

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (987, 678, 909, 800) = 1.

Given numbers are 987, 678, 909, 800

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 678 are 2 x 3 x 113

Prime factors of 909 are 3 x 3 x 101

Prime factors of 800 are 2 x 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 987, 678, 909, 800

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

Apply this formula for all numbers.

Step1:

LCM(987, 678) = 223062

GCD(987, 678) = ( 987 x 678 ) / 223062

= 987 / 678

= 987

Step2:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

Step3:

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

= 3 / 800

= 3

So, Greatest Common Divisor of 987, 678, 909, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 855, 998, 498
• GCD of 110, 954, 998, 946
• GCD of 172, 891, 756, 521
• GCD of 753, 105, 962, 671
• GCD of 908, 382, 283, 522

Given numbers are 987, 678, 909, 800
The greatest common divisor of numbers 987, 678, 909, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 678, 909, 800 is 1.

1. What is the GCD of 987, 678, 909, 800?

GCD of given numbers 987, 678, 909, 800 is 1

2. How to calculate the greatest common divisor of 987, 678, 909, 800?

We can find the highest common divisor of 987, 678, 909, 800 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, 678, 909, 800 i.e 1.

3. How can I use the GCD of 987, 678, 909, 800Calculator?

Out the numbers 987, 678, 909, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.