GCD of 654, 394, 272, 308 Calculator

Given Input numbers are 654, 394, 272, 308

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (654, 394, 272, 308) = 2.

Given numbers are 654, 394, 272, 308

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 394 are 2 x 197

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 654, 394, 272, 308 is 2.

Given numbers are 654, 394, 272, 308

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

Apply this formula for all numbers.

Step1:

LCM(654, 394) = 128838

GCD(654, 394) = ( 654 x 394 ) / 128838

= 654 / 394

= 654

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 654, 394, 272, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 739, 606, 376
• GCD of 319, 862, 796, 756
• GCD of 970, 532, 468, 139
• GCD of 360, 747, 247, 390
• GCD of 529, 592, 245, 616

Given numbers are 654, 394, 272, 308
The greatest common divisor of numbers 654, 394, 272, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 394, 272, 308 is 2.

1. What is the GCD of 654, 394, 272, 308?

GCD of given numbers 654, 394, 272, 308 is 2

2. How to calculate the greatest common divisor of 654, 394, 272, 308?

We can find the highest common divisor of 654, 394, 272, 308 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, 394, 272, 308 i.e 2.

3. How can I use the GCD of 654, 394, 272, 308Calculator?

Out the numbers 654, 394, 272, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.