GCD of 600, 368, 272, 334 Calculator

Given Input numbers are 600, 368, 272, 334

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (600, 368, 272, 334) = 2.

Given numbers are 600, 368, 272, 334

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 600, 368, 272, 334 is 2.

Given numbers are 600, 368, 272, 334

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

Apply this formula for all numbers.

Step1:

LCM(600, 368) = 27600

GCD(600, 368) = ( 600 x 368 ) / 27600

= 600 / 368

= 600

Step2:

LCM(8, 272) = 272

GCD(8, 272) = ( 8 x 272 ) / 272

= 8 / 272

= 8

Step3:

LCM(8, 334) = 1336

GCD(8, 334) = ( 8 x 334 ) / 1336

= 8 / 334

= 8

So, Greatest Common Divisor of 600, 368, 272, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 300, 523, 416
• GCD of 203, 727, 865, 523
• GCD of 554, 468, 826, 628
• GCD of 493, 557, 762, 207
• GCD of 757, 383, 561, 385

Given numbers are 600, 368, 272, 334
The greatest common divisor of numbers 600, 368, 272, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 368, 272, 334 is 2.

1. What is the GCD of 600, 368, 272, 334?

GCD of given numbers 600, 368, 272, 334 is 2

2. How to calculate the greatest common divisor of 600, 368, 272, 334?

We can find the highest common divisor of 600, 368, 272, 334 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 600, 368, 272, 334 i.e 2.

3. How can I use the GCD of 600, 368, 272, 334Calculator?

Out the numbers 600, 368, 272, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.