GCD of 542, 916, 182, 238 Calculator

Given Input numbers are 542, 916, 182, 238

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (542, 916, 182, 238) = 2.

Given numbers are 542, 916, 182, 238

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 916 are 2 x 2 x 229

Prime factors of 182 are 2 x 7 x 13

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 542, 916, 182, 238 is 2.

Given numbers are 542, 916, 182, 238

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

Apply this formula for all numbers.

Step1:

LCM(542, 916) = 248236

GCD(542, 916) = ( 542 x 916 ) / 248236

= 542 / 916

= 542

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 542, 916, 182, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 327, 186, 926
• GCD of 527, 612, 165, 535
• GCD of 254, 405, 838, 201
• GCD of 929, 726, 728, 830
• GCD of 516, 515, 550, 509

Given numbers are 542, 916, 182, 238
The greatest common divisor of numbers 542, 916, 182, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 916, 182, 238 is 2.

1. What is the GCD of 542, 916, 182, 238?

GCD of given numbers 542, 916, 182, 238 is 2

2. How to calculate the greatest common divisor of 542, 916, 182, 238?

We can find the highest common divisor of 542, 916, 182, 238 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, 916, 182, 238 i.e 2.

3. How can I use the GCD of 542, 916, 182, 238Calculator?

Out the numbers 542, 916, 182, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.