GCD of 438, 237, 273, 759 Calculator

Given Input numbers are 438, 237, 273, 759

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

Divisors of 438 :

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

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (438, 237, 273, 759) = 3.

Given numbers are 438, 237, 273, 759

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 237 are 3 x 79

Prime factors of 273 are 3 x 7 x 13

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 438, 237, 273, 759 is 3.

Given numbers are 438, 237, 273, 759

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

Apply this formula for all numbers.

Step1:

LCM(438, 237) = 34602

GCD(438, 237) = ( 438 x 237 ) / 34602

= 438 / 237

= 438

Step2:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

Step3:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 438, 237, 273, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 356, 957, 742
• GCD of 620, 195, 446, 589
• GCD of 299, 926, 197, 555
• GCD of 368, 322, 696, 221
• GCD of 857, 576, 536, 297

Given numbers are 438, 237, 273, 759
The greatest common divisor of numbers 438, 237, 273, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 237, 273, 759 is 3.

1. What is the GCD of 438, 237, 273, 759?

GCD of given numbers 438, 237, 273, 759 is 3

2. How to calculate the greatest common divisor of 438, 237, 273, 759?

We can find the highest common divisor of 438, 237, 273, 759 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 438, 237, 273, 759 i.e 3.

3. How can I use the GCD of 438, 237, 273, 759Calculator?

Out the numbers 438, 237, 273, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.