GCD of 234, 654, 118, 538 Calculator

Given Input numbers are 234, 654, 118, 538

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 538 :

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

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (234, 654, 118, 538) = 2.

Given numbers are 234, 654, 118, 538

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 654 are 2 x 3 x 109

Prime factors of 118 are 2 x 59

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 234, 654, 118, 538 is 2.

Given numbers are 234, 654, 118, 538

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

Apply this formula for all numbers.

Step1:

LCM(234, 654) = 25506

GCD(234, 654) = ( 234 x 654 ) / 25506

= 234 / 654

= 234

Step2:

LCM(6, 118) = 354

GCD(6, 118) = ( 6 x 118 ) / 354

= 6 / 118

= 6

Step3:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 234, 654, 118, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 229, 945, 110
• GCD of 901, 851, 775, 473
• GCD of 146, 414, 467, 154
• GCD of 702, 551, 359, 245
• GCD of 145, 800, 399, 378

Given numbers are 234, 654, 118, 538
The greatest common divisor of numbers 234, 654, 118, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 654, 118, 538 is 2.

1. What is the GCD of 234, 654, 118, 538?

GCD of given numbers 234, 654, 118, 538 is 2

2. How to calculate the greatest common divisor of 234, 654, 118, 538?

We can find the highest common divisor of 234, 654, 118, 538 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 234, 654, 118, 538 i.e 2.

3. How can I use the GCD of 234, 654, 118, 538Calculator?

Out the numbers 234, 654, 118, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.