GCD of 874, 132, 188, 180 Calculator

Given Input numbers are 874, 132, 188, 180

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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 (874, 132, 188, 180) = 2.

Given numbers are 874, 132, 188, 180

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

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

Prime factors of 188 are 2 x 2 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 874, 132, 188, 180 is 2.

Given numbers are 874, 132, 188, 180

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

Apply this formula for all numbers.

Step1:

LCM(874, 132) = 57684

GCD(874, 132) = ( 874 x 132 ) / 57684

= 874 / 132

= 874

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 180) = 180

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

= 2 / 180

= 2

So, Greatest Common Divisor of 874, 132, 188, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 410, 886, 504
• GCD of 667, 325, 438, 793
• GCD of 170, 145, 353, 195
• GCD of 468, 358, 504, 864
• GCD of 329, 390, 744, 362

Given numbers are 874, 132, 188, 180
The greatest common divisor of numbers 874, 132, 188, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 132, 188, 180 is 2.

1. What is the GCD of 874, 132, 188, 180?

GCD of given numbers 874, 132, 188, 180 is 2

2. How to calculate the greatest common divisor of 874, 132, 188, 180?

We can find the highest common divisor of 874, 132, 188, 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 874, 132, 188, 180 i.e 2.

3. How can I use the GCD of 874, 132, 188, 180Calculator?

Out the numbers 874, 132, 188, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.