GCD of 542, 501, 924, 180 Calculator

Given Input numbers are 542, 501, 924, 180

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 (542, 501, 924, 180) = 1.

Given numbers are 542, 501, 924, 180

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 501 are 3 x 167

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

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

Given numbers are 542, 501, 924, 180

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

Apply this formula for all numbers.

Step1:

LCM(542, 501) = 271542

GCD(542, 501) = ( 542 x 501 ) / 271542

= 542 / 501

= 542

Step2:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 542, 501, 924, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 548, 810, 104
• GCD of 565, 851, 723, 966
• GCD of 318, 152, 765, 271
• GCD of 386, 254, 605, 958
• GCD of 716, 204, 545, 555

Given numbers are 542, 501, 924, 180
The greatest common divisor of numbers 542, 501, 924, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 501, 924, 180 is 1.

1. What is the GCD of 542, 501, 924, 180?

GCD of given numbers 542, 501, 924, 180 is 1

2. How to calculate the greatest common divisor of 542, 501, 924, 180?

We can find the highest common divisor of 542, 501, 924, 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 542, 501, 924, 180 i.e 1.

3. How can I use the GCD of 542, 501, 924, 180Calculator?

Out the numbers 542, 501, 924, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.