GCD of 987, 759, 204, 792 Calculator

Given Input numbers are 987, 759, 204, 792

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (987, 759, 204, 792) = 3.

Given numbers are 987, 759, 204, 792

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 759 are 3 x 11 x 23

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 987, 759, 204, 792 is 3.

Given numbers are 987, 759, 204, 792

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

Apply this formula for all numbers.

Step1:

LCM(987, 759) = 249711

GCD(987, 759) = ( 987 x 759 ) / 249711

= 987 / 759

= 987

Step2:

LCM(3, 204) = 204

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

= 3 / 204

= 3

Step3:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

So, Greatest Common Divisor of 987, 759, 204, 792 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 949, 824, 653
• GCD of 836, 165, 747, 816
• GCD of 398, 181, 589, 624
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Given numbers are 987, 759, 204, 792
The greatest common divisor of numbers 987, 759, 204, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 759, 204, 792 is 3.

1. What is the GCD of 987, 759, 204, 792?

GCD of given numbers 987, 759, 204, 792 is 3

2. How to calculate the greatest common divisor of 987, 759, 204, 792?

We can find the highest common divisor of 987, 759, 204, 792 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, 759, 204, 792 i.e 3.

3. How can I use the GCD of 987, 759, 204, 792Calculator?

Out the numbers 987, 759, 204, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.