GCD of 786, 872, 676, 976 Calculator

Given Input numbers are 786, 872, 676, 976

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

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (786, 872, 676, 976) = 2.

Given numbers are 786, 872, 676, 976

The list of prime factors of all numbers are

Prime factors of 786 are 2 x 3 x 131

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 786, 872, 676, 976 is 2.

Given numbers are 786, 872, 676, 976

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

Apply this formula for all numbers.

Step1:

LCM(786, 872) = 342696

GCD(786, 872) = ( 786 x 872 ) / 342696

= 786 / 872

= 786

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 786, 872, 676, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 858, 554, 155
• GCD of 716, 977, 170, 162
• GCD of 759, 269, 903, 231
• GCD of 601, 329, 571, 767
• GCD of 477, 943, 994, 463

Given numbers are 786, 872, 676, 976
The greatest common divisor of numbers 786, 872, 676, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 872, 676, 976 is 2.

1. What is the GCD of 786, 872, 676, 976?

GCD of given numbers 786, 872, 676, 976 is 2

2. How to calculate the greatest common divisor of 786, 872, 676, 976?

We can find the highest common divisor of 786, 872, 676, 976 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 786, 872, 676, 976 i.e 2.

3. How can I use the GCD of 786, 872, 676, 976Calculator?

Out the numbers 786, 872, 676, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.