GCD of 418, 198, 743, 356 Calculator

Given Input numbers are 418, 198, 743, 356

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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 743 :

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

1, 743

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (418, 198, 743, 356) = 1.

Given numbers are 418, 198, 743, 356

The list of prime factors of all numbers are

Prime factors of 418 are 2 x 11 x 19

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

Prime factors of 743 are 743

Prime factors of 356 are 2 x 2 x 89

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

Given numbers are 418, 198, 743, 356

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

Apply this formula for all numbers.

Step1:

LCM(418, 198) = 3762

GCD(418, 198) = ( 418 x 198 ) / 3762

= 418 / 198

= 418

Step2:

LCM(22, 743) = 16346

GCD(22, 743) = ( 22 x 743 ) / 16346

= 22 / 743

= 22

Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

So, Greatest Common Divisor of 418, 198, 743, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 702, 528, 324
• GCD of 362, 506, 465, 473
• GCD of 660, 742, 608, 170
• GCD of 269, 858, 235, 284
• GCD of 343, 396, 927, 950

Given numbers are 418, 198, 743, 356
The greatest common divisor of numbers 418, 198, 743, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 198, 743, 356 is 1.

1. What is the GCD of 418, 198, 743, 356?

GCD of given numbers 418, 198, 743, 356 is 1

2. How to calculate the greatest common divisor of 418, 198, 743, 356?

We can find the highest common divisor of 418, 198, 743, 356 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 418, 198, 743, 356 i.e 1.

3. How can I use the GCD of 418, 198, 743, 356Calculator?

Out the numbers 418, 198, 743, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.