GCD of 231, 218, 438, 752 Calculator

Given Input numbers are 231, 218, 438, 752

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 218 :

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

1, 2, 109, 218

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (231, 218, 438, 752) = 1.

Given numbers are 231, 218, 438, 752

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 218 are 2 x 109

Prime factors of 438 are 2 x 3 x 73

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Given numbers are 231, 218, 438, 752

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

Apply this formula for all numbers.

Step1:

LCM(231, 218) = 50358

GCD(231, 218) = ( 231 x 218 ) / 50358

= 231 / 218

= 231

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

So, Greatest Common Divisor of 231, 218, 438, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 410, 145, 684
• GCD of 661, 896, 608, 716
• GCD of 936, 741, 474, 886
• GCD of 901, 746, 989, 191
• GCD of 532, 280, 150, 827

Given numbers are 231, 218, 438, 752
The greatest common divisor of numbers 231, 218, 438, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 218, 438, 752 is 1.

1. What is the GCD of 231, 218, 438, 752?

GCD of given numbers 231, 218, 438, 752 is 1

2. How to calculate the greatest common divisor of 231, 218, 438, 752?

We can find the highest common divisor of 231, 218, 438, 752 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 231, 218, 438, 752 i.e 1.

3. How can I use the GCD of 231, 218, 438, 752Calculator?

Out the numbers 231, 218, 438, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.