GCD of 428, 294, 243, 537 Calculator

Given Input numbers are 428, 294, 243, 537

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (428, 294, 243, 537) = 1.

Given numbers are 428, 294, 243, 537

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 537 are 3 x 179

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

Given numbers are 428, 294, 243, 537

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

Apply this formula for all numbers.

Step1:

LCM(428, 294) = 62916

GCD(428, 294) = ( 428 x 294 ) / 62916

= 428 / 294

= 428

Step2:

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

= 2 / 243

= 2

Step3:

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

= 1 / 537

= 1

So, Greatest Common Divisor of 428, 294, 243, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 922, 569, 300
• GCD of 796, 671, 464, 697
• GCD of 419, 790, 546, 288
• GCD of 687, 191, 932, 156
• GCD of 313, 946, 962, 615

Given numbers are 428, 294, 243, 537
The greatest common divisor of numbers 428, 294, 243, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 294, 243, 537 is 1.

1. What is the GCD of 428, 294, 243, 537?

GCD of given numbers 428, 294, 243, 537 is 1

2. How to calculate the greatest common divisor of 428, 294, 243, 537?

We can find the highest common divisor of 428, 294, 243, 537 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 428, 294, 243, 537 i.e 1.

3. How can I use the GCD of 428, 294, 243, 537Calculator?

Out the numbers 428, 294, 243, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.