GCD of 342, 174, 798, 518 Calculator

Given Input numbers are 342, 174, 798, 518

In the factoring method, we have to find the divisors of all numbers

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (342, 174, 798, 518) = 2.

Given numbers are 342, 174, 798, 518

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 174 are 2 x 3 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 342, 174, 798, 518 is 2.

Given numbers are 342, 174, 798, 518

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

Apply this formula for all numbers.

Step1:

LCM(342, 174) = 9918

GCD(342, 174) = ( 342 x 174 ) / 9918

= 342 / 174

= 342

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 518) = 1554

GCD(6, 518) = ( 6 x 518 ) / 1554

= 6 / 518

= 6

So, Greatest Common Divisor of 342, 174, 798, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 962, 126, 527
• GCD of 765, 973, 699, 228
• GCD of 426, 254, 773, 440
• GCD of 259, 856, 765, 184
• GCD of 142, 518, 933, 686

Given numbers are 342, 174, 798, 518
The greatest common divisor of numbers 342, 174, 798, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 174, 798, 518 is 2.

1. What is the GCD of 342, 174, 798, 518?

GCD of given numbers 342, 174, 798, 518 is 2

2. How to calculate the greatest common divisor of 342, 174, 798, 518?

We can find the highest common divisor of 342, 174, 798, 518 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 342, 174, 798, 518 i.e 2.

3. How can I use the GCD of 342, 174, 798, 518Calculator?

Out the numbers 342, 174, 798, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.