GCD of 180, 234, 921, 159 Calculator

Given Input numbers are 180, 234, 921, 159

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 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (180, 234, 921, 159) = 3.

Given numbers are 180, 234, 921, 159

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 234 are 2 x 3 x 3 x 13

Prime factors of 921 are 3 x 307

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 180, 234, 921, 159 is 3.

Given numbers are 180, 234, 921, 159

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

Apply this formula for all numbers.

Step1:

LCM(180, 234) = 2340

GCD(180, 234) = ( 180 x 234 ) / 2340

= 180 / 234

= 180

Step2:

LCM(18, 921) = 5526

GCD(18, 921) = ( 18 x 921 ) / 5526

= 18 / 921

= 18

Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

So, Greatest Common Divisor of 180, 234, 921, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 682, 821, 619
• GCD of 114, 747, 197, 189
• GCD of 298, 242, 615, 769
• GCD of 839, 602, 605, 260
• GCD of 338, 601, 292, 590

Given numbers are 180, 234, 921, 159
The greatest common divisor of numbers 180, 234, 921, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 234, 921, 159 is 3.

1. What is the GCD of 180, 234, 921, 159?

GCD of given numbers 180, 234, 921, 159 is 3

2. How to calculate the greatest common divisor of 180, 234, 921, 159?

We can find the highest common divisor of 180, 234, 921, 159 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, 234, 921, 159 i.e 3.

3. How can I use the GCD of 180, 234, 921, 159Calculator?

Out the numbers 180, 234, 921, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.