GCD of 675, 864, 500, 982 Calculator

Given Input numbers are 675, 864, 500, 982

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (675, 864, 500, 982) = 1.

Given numbers are 675, 864, 500, 982

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 982 are 2 x 491

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

Given numbers are 675, 864, 500, 982

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

Apply this formula for all numbers.

Step1:

LCM(675, 864) = 21600

GCD(675, 864) = ( 675 x 864 ) / 21600

= 675 / 864

= 675

Step2:

LCM(27, 500) = 13500

GCD(27, 500) = ( 27 x 500 ) / 13500

= 27 / 500

= 27

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 675, 864, 500, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 954, 968, 357
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Given numbers are 675, 864, 500, 982
The greatest common divisor of numbers 675, 864, 500, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 864, 500, 982 is 1.

1. What is the GCD of 675, 864, 500, 982?

GCD of given numbers 675, 864, 500, 982 is 1

2. How to calculate the greatest common divisor of 675, 864, 500, 982?

We can find the highest common divisor of 675, 864, 500, 982 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 675, 864, 500, 982 i.e 1.

3. How can I use the GCD of 675, 864, 500, 982Calculator?

Out the numbers 675, 864, 500, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.