GCD of 678, 972, 872, 987 Calculator

Given Input numbers are 678, 972, 872, 987

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

Divisors of 678 :

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 972, 872, 987) = 1.

Given numbers are 678, 972, 872, 987

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 678, 972, 872, 987

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

Apply this formula for all numbers.

Step1:

LCM(678, 972) = 109836

GCD(678, 972) = ( 678 x 972 ) / 109836

= 678 / 972

= 678

Step2:

LCM(6, 872) = 2616

GCD(6, 872) = ( 6 x 872 ) / 2616

= 6 / 872

= 6

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 678, 972, 872, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 921, 613, 259
• GCD of 351, 202, 423, 416
• GCD of 855, 138, 528, 840
• GCD of 548, 695, 345, 111
• GCD of 370, 825, 679, 704

Given numbers are 678, 972, 872, 987
The greatest common divisor of numbers 678, 972, 872, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 972, 872, 987 is 1.

1. What is the GCD of 678, 972, 872, 987?

GCD of given numbers 678, 972, 872, 987 is 1

2. How to calculate the greatest common divisor of 678, 972, 872, 987?

We can find the highest common divisor of 678, 972, 872, 987 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 678, 972, 872, 987 i.e 1.

3. How can I use the GCD of 678, 972, 872, 987Calculator?

Out the numbers 678, 972, 872, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.