GCD of 237, 438, 696, 270 Calculator

Given Input numbers are 237, 438, 696, 270

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

Divisors of 237 :

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

1, 3, 79, 237

Divisors of 438 :

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

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (237, 438, 696, 270) = 3.

Given numbers are 237, 438, 696, 270

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 438 are 2 x 3 x 73

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 237, 438, 696, 270 is 3.

Given numbers are 237, 438, 696, 270

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

Apply this formula for all numbers.

Step1:

LCM(237, 438) = 34602

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

= 237 / 438

= 237

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 237, 438, 696, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 644, 338, 539
• GCD of 368, 985, 211, 440
• GCD of 364, 204, 495, 128
• GCD of 782, 849, 502, 699
• GCD of 927, 712, 310, 798

Given numbers are 237, 438, 696, 270
The greatest common divisor of numbers 237, 438, 696, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 438, 696, 270 is 3.

1. What is the GCD of 237, 438, 696, 270?

GCD of given numbers 237, 438, 696, 270 is 3

2. How to calculate the greatest common divisor of 237, 438, 696, 270?

We can find the highest common divisor of 237, 438, 696, 270 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 237, 438, 696, 270 i.e 3.

3. How can I use the GCD of 237, 438, 696, 270Calculator?

Out the numbers 237, 438, 696, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.