GCD of 180, 340, 24, 360 Calculator

Given Input numbers are 180, 340, 24, 360

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (180, 340, 24, 360) = 4.

Given numbers are 180, 340, 24, 360

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 340 are 2 x 2 x 5 x 17

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 180, 340, 24, 360 is 4.

Given numbers are 180, 340, 24, 360

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

Apply this formula for all numbers.

Step1:

LCM(180, 340) = 3060

GCD(180, 340) = ( 180 x 340 ) / 3060

= 180 / 340

= 180

Step2:

LCM(20, 24) = 120

GCD(20, 24) = ( 20 x 24 ) / 120

= 20 / 24

= 20

Step3:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

So, Greatest Common Divisor of 180, 340, 24, 360 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 238, 69, 641
• GCD of 682, 568, 48, 295
• GCD of 582, 972, 42, 626
• GCD of 676, 593, 60, 825
• GCD of 764, 336, 49, 153

Given numbers are 180, 340, 24, 360
The greatest common divisor of numbers 180, 340, 24, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 340, 24, 360 is 4.

1. What is the GCD of 180, 340, 24, 360?

GCD of given numbers 180, 340, 24, 360 is 4

2. How to calculate the greatest common divisor of 180, 340, 24, 360?

We can find the highest common divisor of 180, 340, 24, 360 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, 340, 24, 360 i.e 4.

3. How can I use the GCD of 180, 340, 24, 360Calculator?

Out the numbers 180, 340, 24, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.