GCD of 180, 400, 112, 261 Calculator

Given Input numbers are 180, 400, 112, 261

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (180, 400, 112, 261) = 1.

Given numbers are 180, 400, 112, 261

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 180, 400, 112, 261

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

Apply this formula for all numbers.

Step1:

LCM(180, 400) = 3600

GCD(180, 400) = ( 180 x 400 ) / 3600

= 180 / 400

= 180

Step2:

LCM(20, 112) = 560

GCD(20, 112) = ( 20 x 112 ) / 560

= 20 / 112

= 20

Step3:

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

= 4 / 261

= 4

So, Greatest Common Divisor of 180, 400, 112, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 110, 585, 890
• GCD of 571, 977, 938, 905
• GCD of 687, 956, 314, 432
• GCD of 431, 398, 573, 228
• GCD of 719, 216, 886, 495

Given numbers are 180, 400, 112, 261
The greatest common divisor of numbers 180, 400, 112, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 400, 112, 261 is 1.

1. What is the GCD of 180, 400, 112, 261?

GCD of given numbers 180, 400, 112, 261 is 1

2. How to calculate the greatest common divisor of 180, 400, 112, 261?

We can find the highest common divisor of 180, 400, 112, 261 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, 400, 112, 261 i.e 1.

3. How can I use the GCD of 180, 400, 112, 261Calculator?

Out the numbers 180, 400, 112, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.