GCD of 180, 800, 374, 652 Calculator

Given Input numbers are 180, 800, 374, 652

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 374 :

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

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (180, 800, 374, 652) = 2.

Given numbers are 180, 800, 374, 652

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 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 374 are 2 x 11 x 17

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 180, 800, 374, 652 is 2.

Given numbers are 180, 800, 374, 652

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

Apply this formula for all numbers.

Step1:

LCM(180, 800) = 7200

GCD(180, 800) = ( 180 x 800 ) / 7200

= 180 / 800

= 180

Step2:

LCM(20, 374) = 3740

GCD(20, 374) = ( 20 x 374 ) / 3740

= 20 / 374

= 20

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 180, 800, 374, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 718, 176, 915
• GCD of 429, 970, 392, 877
• GCD of 438, 267, 632, 435
• GCD of 551, 448, 778, 688
• GCD of 614, 321, 925, 665

Given numbers are 180, 800, 374, 652
The greatest common divisor of numbers 180, 800, 374, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 800, 374, 652 is 2.

1. What is the GCD of 180, 800, 374, 652?

GCD of given numbers 180, 800, 374, 652 is 2

2. How to calculate the greatest common divisor of 180, 800, 374, 652?

We can find the highest common divisor of 180, 800, 374, 652 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, 800, 374, 652 i.e 2.

3. How can I use the GCD of 180, 800, 374, 652Calculator?

Out the numbers 180, 800, 374, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.