GCD of 542, 180, 401, 112 Calculator

Given Input numbers are 542, 180, 401, 112

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 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 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (542, 180, 401, 112) = 1.

Given numbers are 542, 180, 401, 112

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 401 are 401

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

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

Given numbers are 542, 180, 401, 112

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

Apply this formula for all numbers.

Step1:

LCM(542, 180) = 48780

GCD(542, 180) = ( 542 x 180 ) / 48780

= 542 / 180

= 542

Step2:

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

= 2 / 401

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 542, 180, 401, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 185, 740, 981
• GCD of 633, 349, 488, 628
• GCD of 841, 657, 348, 920
• GCD of 218, 328, 632, 318
• GCD of 212, 418, 958, 898

Given numbers are 542, 180, 401, 112
The greatest common divisor of numbers 542, 180, 401, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 180, 401, 112 is 1.

1. What is the GCD of 542, 180, 401, 112?

GCD of given numbers 542, 180, 401, 112 is 1

2. How to calculate the greatest common divisor of 542, 180, 401, 112?

We can find the highest common divisor of 542, 180, 401, 112 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, 180, 401, 112 i.e 1.

3. How can I use the GCD of 542, 180, 401, 112Calculator?

Out the numbers 542, 180, 401, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.