GCD of 724, 600, 120, 306 Calculator

Given Input numbers are 724, 600, 120, 306

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (724, 600, 120, 306) = 2.

Given numbers are 724, 600, 120, 306

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 724, 600, 120, 306 is 2.

Given numbers are 724, 600, 120, 306

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

Apply this formula for all numbers.

Step1:

LCM(724, 600) = 108600

GCD(724, 600) = ( 724 x 600 ) / 108600

= 724 / 600

= 724

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

So, Greatest Common Divisor of 724, 600, 120, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 808, 708, 652
• GCD of 693, 567, 368, 903
• GCD of 455, 479, 729, 515
• GCD of 623, 258, 489, 231
• GCD of 608, 346, 991, 948

Given numbers are 724, 600, 120, 306
The greatest common divisor of numbers 724, 600, 120, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 600, 120, 306 is 2.

1. What is the GCD of 724, 600, 120, 306?

GCD of given numbers 724, 600, 120, 306 is 2

2. How to calculate the greatest common divisor of 724, 600, 120, 306?

We can find the highest common divisor of 724, 600, 120, 306 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 724, 600, 120, 306 i.e 2.

3. How can I use the GCD of 724, 600, 120, 306Calculator?

Out the numbers 724, 600, 120, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.