GCD of 180, 886, 678, 688 Calculator

Given Input numbers are 180, 886, 678, 688

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 678 :

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

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (180, 886, 678, 688) = 2.

Given numbers are 180, 886, 678, 688

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 886 are 2 x 443

Prime factors of 678 are 2 x 3 x 113

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 180, 886, 678, 688 is 2.

Given numbers are 180, 886, 678, 688

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

Apply this formula for all numbers.

Step1:

LCM(180, 886) = 79740

GCD(180, 886) = ( 180 x 886 ) / 79740

= 180 / 886

= 180

Step2:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 180, 886, 678, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 715, 184, 198
• GCD of 532, 929, 692, 293
• GCD of 412, 377, 314, 730
• GCD of 293, 460, 518, 481
• GCD of 798, 330, 527, 296

Given numbers are 180, 886, 678, 688
The greatest common divisor of numbers 180, 886, 678, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 886, 678, 688 is 2.

1. What is the GCD of 180, 886, 678, 688?

GCD of given numbers 180, 886, 678, 688 is 2

2. How to calculate the greatest common divisor of 180, 886, 678, 688?

We can find the highest common divisor of 180, 886, 678, 688 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 180, 886, 678, 688 i.e 2.

3. How can I use the GCD of 180, 886, 678, 688Calculator?

Out the numbers 180, 886, 678, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.