GCD of 272, 496, 608, 418 Calculator

Given Input numbers are 272, 496, 608, 418

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

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (272, 496, 608, 418) = 2.

Given numbers are 272, 496, 608, 418

The list of prime factors of all numbers are

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 272, 496, 608, 418 is 2.

Given numbers are 272, 496, 608, 418

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

Apply this formula for all numbers.

Step1:

LCM(272, 496) = 8432

GCD(272, 496) = ( 272 x 496 ) / 8432

= 272 / 496

= 272

Step2:

LCM(16, 608) = 608

GCD(16, 608) = ( 16 x 608 ) / 608

= 16 / 608

= 16

Step3:

LCM(16, 418) = 3344

GCD(16, 418) = ( 16 x 418 ) / 3344

= 16 / 418

= 16

So, Greatest Common Divisor of 272, 496, 608, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 167, 553, 675
• GCD of 727, 684, 497, 293
• GCD of 576, 394, 998, 898
• GCD of 987, 569, 680, 226
• GCD of 350, 748, 544, 499

Given numbers are 272, 496, 608, 418
The greatest common divisor of numbers 272, 496, 608, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 496, 608, 418 is 2.

1. What is the GCD of 272, 496, 608, 418?

GCD of given numbers 272, 496, 608, 418 is 2

2. How to calculate the greatest common divisor of 272, 496, 608, 418?

We can find the highest common divisor of 272, 496, 608, 418 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 272, 496, 608, 418 i.e 2.

3. How can I use the GCD of 272, 496, 608, 418Calculator?

Out the numbers 272, 496, 608, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.