GCD of 634, 142, 406, 180 Calculator

Given Input numbers are 634, 142, 406, 180

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

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 (634, 142, 406, 180) = 2.

Given numbers are 634, 142, 406, 180

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 142 are 2 x 71

Prime factors of 406 are 2 x 7 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 634, 142, 406, 180 is 2.

Given numbers are 634, 142, 406, 180

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

Apply this formula for all numbers.

Step1:

LCM(634, 142) = 45014

GCD(634, 142) = ( 634 x 142 ) / 45014

= 634 / 142

= 634

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 180) = 180

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

= 2 / 180

= 2

So, Greatest Common Divisor of 634, 142, 406, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 850, 803, 894
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Given numbers are 634, 142, 406, 180
The greatest common divisor of numbers 634, 142, 406, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 142, 406, 180 is 2.

1. What is the GCD of 634, 142, 406, 180?

GCD of given numbers 634, 142, 406, 180 is 2

2. How to calculate the greatest common divisor of 634, 142, 406, 180?

We can find the highest common divisor of 634, 142, 406, 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 634, 142, 406, 180 i.e 2.

3. How can I use the GCD of 634, 142, 406, 180Calculator?

Out the numbers 634, 142, 406, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.