GCD of 675, 132, 894, 284 Calculator

Given Input numbers are 675, 132, 894, 284

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (675, 132, 894, 284) = 1.

Given numbers are 675, 132, 894, 284

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 132 are 2 x 2 x 3 x 11

Prime factors of 894 are 2 x 3 x 149

Prime factors of 284 are 2 x 2 x 71

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

Given numbers are 675, 132, 894, 284

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

Apply this formula for all numbers.

Step1:

LCM(675, 132) = 29700

GCD(675, 132) = ( 675 x 132 ) / 29700

= 675 / 132

= 675

Step2:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

Step3:

LCM(3, 284) = 852

GCD(3, 284) = ( 3 x 284 ) / 852

= 3 / 284

= 3

So, Greatest Common Divisor of 675, 132, 894, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 228, 753, 420
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• GCD of 360, 861, 282, 567
• GCD of 980, 170, 348, 771

Given numbers are 675, 132, 894, 284
The greatest common divisor of numbers 675, 132, 894, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 132, 894, 284 is 1.

1. What is the GCD of 675, 132, 894, 284?

GCD of given numbers 675, 132, 894, 284 is 1

2. How to calculate the greatest common divisor of 675, 132, 894, 284?

We can find the highest common divisor of 675, 132, 894, 284 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, 132, 894, 284 i.e 1.

3. How can I use the GCD of 675, 132, 894, 284Calculator?

Out the numbers 675, 132, 894, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.