GCD of 660, 610, 678, 180 Calculator

Given Input numbers are 660, 610, 678, 180

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 678 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (660, 610, 678, 180) = 2.

Given numbers are 660, 610, 678, 180

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 610 are 2 x 5 x 61

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 2¹

Therefore, GCD of 660, 610, 678, 180 is 2.

Given numbers are 660, 610, 678, 180

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

Apply this formula for all numbers.

Step1:

LCM(660, 610) = 40260

GCD(660, 610) = ( 660 x 610 ) / 40260

= 660 / 610

= 660

Step2:

LCM(10, 678) = 3390

GCD(10, 678) = ( 10 x 678 ) / 3390

= 10 / 678

= 10

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 660, 610, 678, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 297, 115, 640
• GCD of 547, 511, 754, 523
• GCD of 887, 655, 804, 966
• GCD of 868, 999, 926, 503
• GCD of 537, 562, 319, 700

Given numbers are 660, 610, 678, 180
The greatest common divisor of numbers 660, 610, 678, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 610, 678, 180 is 2.

1. What is the GCD of 660, 610, 678, 180?

GCD of given numbers 660, 610, 678, 180 is 2

2. How to calculate the greatest common divisor of 660, 610, 678, 180?

We can find the highest common divisor of 660, 610, 678, 180 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 660, 610, 678, 180 i.e 2.

3. How can I use the GCD of 660, 610, 678, 180Calculator?

Out the numbers 660, 610, 678, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.