GCD of 861, 813, 813, 678 Calculator

Given Input numbers are 861, 813, 813, 678

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (861, 813, 813, 678) = 3.

Given numbers are 861, 813, 813, 678

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 813 are 3 x 271

Prime factors of 813 are 3 x 271

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 861, 813, 813, 678 is 3.

Given numbers are 861, 813, 813, 678

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

Apply this formula for all numbers.

Step1:

LCM(861, 813) = 233331

GCD(861, 813) = ( 861 x 813 ) / 233331

= 861 / 813

= 861

Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 861, 813, 813, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 449, 735, 728
• GCD of 896, 720, 549, 227
• GCD of 276, 128, 556, 668
• GCD of 786, 339, 551, 922
• GCD of 830, 785, 384, 938

Given numbers are 861, 813, 813, 678
The greatest common divisor of numbers 861, 813, 813, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 813, 813, 678 is 3.

1. What is the GCD of 861, 813, 813, 678?

GCD of given numbers 861, 813, 813, 678 is 3

2. How to calculate the greatest common divisor of 861, 813, 813, 678?

We can find the highest common divisor of 861, 813, 813, 678 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 861, 813, 813, 678 i.e 3.

3. How can I use the GCD of 861, 813, 813, 678Calculator?

Out the numbers 861, 813, 813, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.