GCD of 876, 384, 828, 766 Calculator

Given Input numbers are 876, 384, 828, 766

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (876, 384, 828, 766) = 2.

Given numbers are 876, 384, 828, 766

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 876, 384, 828, 766 is 2.

Given numbers are 876, 384, 828, 766

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

Apply this formula for all numbers.

Step1:

LCM(876, 384) = 28032

GCD(876, 384) = ( 876 x 384 ) / 28032

= 876 / 384

= 876

Step2:

LCM(12, 828) = 828

GCD(12, 828) = ( 12 x 828 ) / 828

= 12 / 828

= 12

Step3:

LCM(12, 766) = 4596

GCD(12, 766) = ( 12 x 766 ) / 4596

= 12 / 766

= 12

So, Greatest Common Divisor of 876, 384, 828, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 739, 320, 941
• GCD of 604, 998, 475, 667
• GCD of 884, 208, 221, 861
• GCD of 362, 414, 744, 574
• GCD of 454, 807, 213, 722

Given numbers are 876, 384, 828, 766
The greatest common divisor of numbers 876, 384, 828, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 384, 828, 766 is 2.

1. What is the GCD of 876, 384, 828, 766?

GCD of given numbers 876, 384, 828, 766 is 2

2. How to calculate the greatest common divisor of 876, 384, 828, 766?

We can find the highest common divisor of 876, 384, 828, 766 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 876, 384, 828, 766 i.e 2.

3. How can I use the GCD of 876, 384, 828, 766Calculator?

Out the numbers 876, 384, 828, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.