GCD of 342, 198, 788, 743 Calculator

Given Input numbers are 342, 198, 788, 743

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (342, 198, 788, 743) = 1.

Given numbers are 342, 198, 788, 743

The list of prime factors of all numbers are

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

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 788 are 2 x 2 x 197

Prime factors of 743 are 743

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

Given numbers are 342, 198, 788, 743

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

Apply this formula for all numbers.

Step1:

LCM(342, 198) = 3762

GCD(342, 198) = ( 342 x 198 ) / 3762

= 342 / 198

= 342

Step2:

LCM(18, 788) = 7092

GCD(18, 788) = ( 18 x 788 ) / 7092

= 18 / 788

= 18

Step3:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

So, Greatest Common Divisor of 342, 198, 788, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 904, 667, 221
• GCD of 924, 744, 432, 338
• GCD of 617, 899, 404, 432
• GCD of 492, 277, 268, 981
• GCD of 426, 887, 328, 536

Given numbers are 342, 198, 788, 743
The greatest common divisor of numbers 342, 198, 788, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 198, 788, 743 is 1.

1. What is the GCD of 342, 198, 788, 743?

GCD of given numbers 342, 198, 788, 743 is 1

2. How to calculate the greatest common divisor of 342, 198, 788, 743?

We can find the highest common divisor of 342, 198, 788, 743 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, 198, 788, 743 i.e 1.

3. How can I use the GCD of 342, 198, 788, 743Calculator?

Out the numbers 342, 198, 788, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.