GCD of 654, 318, 38, 712 Calculator

Given Input numbers are 654, 318, 38, 712

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (654, 318, 38, 712) = 2.

Given numbers are 654, 318, 38, 712

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 318 are 2 x 3 x 53

Prime factors of 38 are 2 x 19

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 654, 318, 38, 712 is 2.

Given numbers are 654, 318, 38, 712

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

Apply this formula for all numbers.

Step1:

LCM(654, 318) = 34662

GCD(654, 318) = ( 654 x 318 ) / 34662

= 654 / 318

= 654

Step2:

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

= 6 / 38

= 6

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 654, 318, 38, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 693, 64, 807
• GCD of 506, 302, 23, 154
• GCD of 262, 815, 37, 322
• GCD of 851, 149, 25, 905
• GCD of 610, 758, 96, 476

Given numbers are 654, 318, 38, 712
The greatest common divisor of numbers 654, 318, 38, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 318, 38, 712 is 2.

1. What is the GCD of 654, 318, 38, 712?

GCD of given numbers 654, 318, 38, 712 is 2

2. How to calculate the greatest common divisor of 654, 318, 38, 712?

We can find the highest common divisor of 654, 318, 38, 712 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, 318, 38, 712 i.e 2.

3. How can I use the GCD of 654, 318, 38, 712Calculator?

Out the numbers 654, 318, 38, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.