GCD of 732, 538, 614, 180 Calculator

Given Input numbers are 732, 538, 614, 180

In the factoring method, we have to find the divisors of all numbers

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 538, 614, 180) = 2.

Given numbers are 732, 538, 614, 180

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 538 are 2 x 269

Prime factors of 614 are 2 x 307

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 732, 538, 614, 180 is 2.

Given numbers are 732, 538, 614, 180

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

Apply this formula for all numbers.

Step1:

LCM(732, 538) = 196908

GCD(732, 538) = ( 732 x 538 ) / 196908

= 732 / 538

= 732

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 732, 538, 614, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 243, 973, 936
• GCD of 512, 762, 892, 586
• GCD of 648, 701, 535, 576
• GCD of 340, 331, 970, 841
• GCD of 224, 242, 355, 340

Given numbers are 732, 538, 614, 180
The greatest common divisor of numbers 732, 538, 614, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 538, 614, 180 is 2.

1. What is the GCD of 732, 538, 614, 180?

GCD of given numbers 732, 538, 614, 180 is 2

2. How to calculate the greatest common divisor of 732, 538, 614, 180?

We can find the highest common divisor of 732, 538, 614, 180 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 732, 538, 614, 180 i.e 2.

3. How can I use the GCD of 732, 538, 614, 180Calculator?

Out the numbers 732, 538, 614, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.