GCD of 180, 800, 242, 602 Calculator

Given Input numbers are 180, 800, 242, 602

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

GCD of numbers is the greatest common divisor

So, the GCD (180, 800, 242, 602) = 2.

Given numbers are 180, 800, 242, 602

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 242 are 2 x 11 x 11

Prime factors of 602 are 2 x 7 x 43

The highest common occurrence is 2¹

Therefore, GCD of 180, 800, 242, 602 is 2.

Given numbers are 180, 800, 242, 602

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, 242) = 2420

GCD(20, 242) = ( 20 x 242 ) / 2420

= 20 / 242

= 20

Step3:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2

So, Greatest Common Divisor of 180, 800, 242, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 203, 583, 445
• GCD of 253, 452, 779, 999
• GCD of 609, 928, 426, 158
• GCD of 906, 277, 444, 210
• GCD of 120, 230, 628, 769

Given numbers are 180, 800, 242, 602
The greatest common divisor of numbers 180, 800, 242, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 800, 242, 602 is 2.

1. What is the GCD of 180, 800, 242, 602?

GCD of given numbers 180, 800, 242, 602 is 2

2. How to calculate the greatest common divisor of 180, 800, 242, 602?

We can find the highest common divisor of 180, 800, 242, 602 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, 242, 602 i.e 2.

3. How can I use the GCD of 180, 800, 242, 602Calculator?

Out the numbers 180, 800, 242, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.