GCD of 538, 429, 218, 113 Calculator

Given Input numbers are 538, 429, 218, 113

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

GCD of numbers is the greatest common divisor

So, the GCD (538, 429, 218, 113) = 1.

Given numbers are 538, 429, 218, 113

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 429 are 3 x 11 x 13

Prime factors of 218 are 2 x 109

Prime factors of 113 are 113

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

Given numbers are 538, 429, 218, 113

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

Apply this formula for all numbers.

Step1:

LCM(538, 429) = 230802

GCD(538, 429) = ( 538 x 429 ) / 230802

= 538 / 429

= 538

Step2:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

Step3:

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

= 1 / 113

= 1

So, Greatest Common Divisor of 538, 429, 218, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 728, 852, 360
• GCD of 307, 490, 117, 641
• GCD of 884, 805, 280, 886
• GCD of 625, 339, 138, 148
• GCD of 361, 398, 408, 948

Given numbers are 538, 429, 218, 113
The greatest common divisor of numbers 538, 429, 218, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 429, 218, 113 is 1.

1. What is the GCD of 538, 429, 218, 113?

GCD of given numbers 538, 429, 218, 113 is 1

2. How to calculate the greatest common divisor of 538, 429, 218, 113?

We can find the highest common divisor of 538, 429, 218, 113 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 538, 429, 218, 113 i.e 1.

3. How can I use the GCD of 538, 429, 218, 113Calculator?

Out the numbers 538, 429, 218, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.