GCD of 542, 120, 356, 398 Calculator

Given Input numbers are 542, 120, 356, 398

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (542, 120, 356, 398) = 2.

Given numbers are 542, 120, 356, 398

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 356 are 2 x 2 x 89

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 542, 120, 356, 398 is 2.

Given numbers are 542, 120, 356, 398

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

Apply this formula for all numbers.

Step1:

LCM(542, 120) = 32520

GCD(542, 120) = ( 542 x 120 ) / 32520

= 542 / 120

= 542

Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 542, 120, 356, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 991, 568, 117
• GCD of 732, 769, 772, 713
• GCD of 620, 509, 254, 629
• GCD of 392, 168, 217, 851
• GCD of 305, 263, 820, 674

Given numbers are 542, 120, 356, 398
The greatest common divisor of numbers 542, 120, 356, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 120, 356, 398 is 2.

1. What is the GCD of 542, 120, 356, 398?

GCD of given numbers 542, 120, 356, 398 is 2

2. How to calculate the greatest common divisor of 542, 120, 356, 398?

We can find the highest common divisor of 542, 120, 356, 398 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, 120, 356, 398 i.e 2.

3. How can I use the GCD of 542, 120, 356, 398Calculator?

Out the numbers 542, 120, 356, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.