GCD of 132, 374, 205, 460 Calculator

Given Input numbers are 132, 374, 205, 460

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (132, 374, 205, 460) = 1.

Given numbers are 132, 374, 205, 460

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 374 are 2 x 11 x 17

Prime factors of 205 are 5 x 41

Prime factors of 460 are 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 132, 374, 205, 460

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

Apply this formula for all numbers.

Step1:

LCM(132, 374) = 2244

GCD(132, 374) = ( 132 x 374 ) / 2244

= 132 / 374

= 132

Step2:

LCM(22, 205) = 4510

GCD(22, 205) = ( 22 x 205 ) / 4510

= 22 / 205

= 22

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 132, 374, 205, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 940, 846, 859
• GCD of 353, 489, 444, 649
• GCD of 299, 819, 378, 930
• GCD of 498, 512, 710, 755
• GCD of 646, 341, 486, 204

Given numbers are 132, 374, 205, 460
The greatest common divisor of numbers 132, 374, 205, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 374, 205, 460 is 1.

1. What is the GCD of 132, 374, 205, 460?

GCD of given numbers 132, 374, 205, 460 is 1

2. How to calculate the greatest common divisor of 132, 374, 205, 460?

We can find the highest common divisor of 132, 374, 205, 460 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 132, 374, 205, 460 i.e 1.

3. How can I use the GCD of 132, 374, 205, 460Calculator?

Out the numbers 132, 374, 205, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.