GCD of 600, 736, 344, 242 Calculator

Given Input numbers are 600, 736, 344, 242

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (600, 736, 344, 242) = 2.

Given numbers are 600, 736, 344, 242

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 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 600, 736, 344, 242 is 2.

Given numbers are 600, 736, 344, 242

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

Apply this formula for all numbers.

Step1:

LCM(600, 736) = 55200

GCD(600, 736) = ( 600 x 736 ) / 55200

= 600 / 736

= 600

Step2:

LCM(8, 344) = 344

GCD(8, 344) = ( 8 x 344 ) / 344

= 8 / 344

= 8

Step3:

LCM(8, 242) = 968

GCD(8, 242) = ( 8 x 242 ) / 968

= 8 / 242

= 8

So, Greatest Common Divisor of 600, 736, 344, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 887, 626, 977
• GCD of 883, 940, 305, 928
• GCD of 183, 173, 640, 644
• GCD of 669, 737, 203, 733
• GCD of 679, 867, 495, 919

Given numbers are 600, 736, 344, 242
The greatest common divisor of numbers 600, 736, 344, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 736, 344, 242 is 2.

1. What is the GCD of 600, 736, 344, 242?

GCD of given numbers 600, 736, 344, 242 is 2

2. How to calculate the greatest common divisor of 600, 736, 344, 242?

We can find the highest common divisor of 600, 736, 344, 242 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, 736, 344, 242 i.e 2.

3. How can I use the GCD of 600, 736, 344, 242Calculator?

Out the numbers 600, 736, 344, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.