GCD of 542, 350, 170, 344 Calculator

Given Input numbers are 542, 350, 170, 344

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (542, 350, 170, 344) = 2.

Given numbers are 542, 350, 170, 344

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 170 are 2 x 5 x 17

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 542, 350, 170, 344 is 2.

Given numbers are 542, 350, 170, 344

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

Apply this formula for all numbers.

Step1:

LCM(542, 350) = 94850

GCD(542, 350) = ( 542 x 350 ) / 94850

= 542 / 350

= 542

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 542, 350, 170, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 189, 934, 610
• GCD of 124, 142, 720, 639
• GCD of 829, 875, 448, 627
• GCD of 991, 159, 158, 598
• GCD of 439, 484, 995, 658

Given numbers are 542, 350, 170, 344
The greatest common divisor of numbers 542, 350, 170, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 350, 170, 344 is 2.

1. What is the GCD of 542, 350, 170, 344?

GCD of given numbers 542, 350, 170, 344 is 2

2. How to calculate the greatest common divisor of 542, 350, 170, 344?

We can find the highest common divisor of 542, 350, 170, 344 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, 350, 170, 344 i.e 2.

3. How can I use the GCD of 542, 350, 170, 344Calculator?

Out the numbers 542, 350, 170, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.