GCD of 180, 610, 466, 946 Calculator

Given Input numbers are 180, 610, 466, 946

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 610 :

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

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (180, 610, 466, 946) = 2.

Given numbers are 180, 610, 466, 946

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 610 are 2 x 5 x 61

Prime factors of 466 are 2 x 233

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 180, 610, 466, 946 is 2.

Given numbers are 180, 610, 466, 946

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

Apply this formula for all numbers.

Step1:

LCM(180, 610) = 10980

GCD(180, 610) = ( 180 x 610 ) / 10980

= 180 / 610

= 180

Step2:

LCM(10, 466) = 2330

GCD(10, 466) = ( 10 x 466 ) / 2330

= 10 / 466

= 10

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 180, 610, 466, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 219, 797, 935
• GCD of 773, 158, 462, 789
• GCD of 127, 176, 695, 388
• GCD of 103, 607, 645, 401
• GCD of 153, 409, 835, 581

Given numbers are 180, 610, 466, 946
The greatest common divisor of numbers 180, 610, 466, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 610, 466, 946 is 2.

1. What is the GCD of 180, 610, 466, 946?

GCD of given numbers 180, 610, 466, 946 is 2

2. How to calculate the greatest common divisor of 180, 610, 466, 946?

We can find the highest common divisor of 180, 610, 466, 946 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, 610, 466, 946 i.e 2.

3. How can I use the GCD of 180, 610, 466, 946Calculator?

Out the numbers 180, 610, 466, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.