GCD of 654, 542, 628, 232 Calculator

Given Input numbers are 654, 542, 628, 232

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

Divisors of 654 :

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

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (654, 542, 628, 232) = 2.

Given numbers are 654, 542, 628, 232

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 542 are 2 x 271

Prime factors of 628 are 2 x 2 x 157

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 654, 542, 628, 232 is 2.

Given numbers are 654, 542, 628, 232

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

Apply this formula for all numbers.

Step1:

LCM(654, 542) = 177234

GCD(654, 542) = ( 654 x 542 ) / 177234

= 654 / 542

= 654

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 654, 542, 628, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 352, 584, 724
• GCD of 610, 266, 322, 454
• GCD of 232, 157, 488, 498
• GCD of 184, 180, 247, 998
• GCD of 924, 164, 799, 941

Given numbers are 654, 542, 628, 232
The greatest common divisor of numbers 654, 542, 628, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 542, 628, 232 is 2.

1. What is the GCD of 654, 542, 628, 232?

GCD of given numbers 654, 542, 628, 232 is 2

2. How to calculate the greatest common divisor of 654, 542, 628, 232?

We can find the highest common divisor of 654, 542, 628, 232 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 654, 542, 628, 232 i.e 2.

3. How can I use the GCD of 654, 542, 628, 232Calculator?

Out the numbers 654, 542, 628, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.