GCD of 894, 987, 762, 204 Calculator

Given Input numbers are 894, 987, 762, 204

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

Divisors of 894 :

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

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

Divisors of 987 :

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

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (894, 987, 762, 204) = 3.

Given numbers are 894, 987, 762, 204

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 987 are 3 x 7 x 47

Prime factors of 762 are 2 x 3 x 127

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 894, 987, 762, 204 is 3.

Given numbers are 894, 987, 762, 204

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

Apply this formula for all numbers.

Step1:

LCM(894, 987) = 294126

GCD(894, 987) = ( 894 x 987 ) / 294126

= 894 / 987

= 894

Step2:

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

= 3 / 762

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 894, 987, 762, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 544, 908, 560
• GCD of 543, 805, 103, 506
• GCD of 828, 160, 712, 453
• GCD of 457, 523, 621, 646
• GCD of 404, 817, 436, 165

Given numbers are 894, 987, 762, 204
The greatest common divisor of numbers 894, 987, 762, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 987, 762, 204 is 3.

1. What is the GCD of 894, 987, 762, 204?

GCD of given numbers 894, 987, 762, 204 is 3

2. How to calculate the greatest common divisor of 894, 987, 762, 204?

We can find the highest common divisor of 894, 987, 762, 204 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 894, 987, 762, 204 i.e 3.

3. How can I use the GCD of 894, 987, 762, 204Calculator?

Out the numbers 894, 987, 762, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.