GCD of 542, 156, 80, 272 Calculator

Given Input numbers are 542, 156, 80, 272

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 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (542, 156, 80, 272) = 2.

Given numbers are 542, 156, 80, 272

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 542, 156, 80, 272 is 2.

Given numbers are 542, 156, 80, 272

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

Apply this formula for all numbers.

Step1:

LCM(542, 156) = 42276

GCD(542, 156) = ( 542 x 156 ) / 42276

= 542 / 156

= 542

Step2:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 542, 156, 80, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 514, 52, 722
• GCD of 132, 530, 89, 186
• GCD of 144, 697, 65, 585
• GCD of 995, 402, 83, 976
• GCD of 907, 956, 30, 561

Given numbers are 542, 156, 80, 272
The greatest common divisor of numbers 542, 156, 80, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 156, 80, 272 is 2.

1. What is the GCD of 542, 156, 80, 272?

GCD of given numbers 542, 156, 80, 272 is 2

2. How to calculate the greatest common divisor of 542, 156, 80, 272?

We can find the highest common divisor of 542, 156, 80, 272 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, 156, 80, 272 i.e 2.

3. How can I use the GCD of 542, 156, 80, 272Calculator?

Out the numbers 542, 156, 80, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.