GCD of 600, 501, 900, 342 Calculator

Given Input numbers are 600, 501, 900, 342

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 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (600, 501, 900, 342) = 3.

Given numbers are 600, 501, 900, 342

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 501 are 3 x 167

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 600, 501, 900, 342 is 3.

Given numbers are 600, 501, 900, 342

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

Apply this formula for all numbers.

Step1:

LCM(600, 501) = 100200

GCD(600, 501) = ( 600 x 501 ) / 100200

= 600 / 501

= 600

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 600, 501, 900, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 222, 308, 770
• GCD of 414, 180, 558, 658
• GCD of 424, 660, 803, 888
• GCD of 347, 378, 532, 369
• GCD of 357, 272, 929, 668

Given numbers are 600, 501, 900, 342
The greatest common divisor of numbers 600, 501, 900, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 501, 900, 342 is 3.

1. What is the GCD of 600, 501, 900, 342?

GCD of given numbers 600, 501, 900, 342 is 3

2. How to calculate the greatest common divisor of 600, 501, 900, 342?

We can find the highest common divisor of 600, 501, 900, 342 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, 501, 900, 342 i.e 3.

3. How can I use the GCD of 600, 501, 900, 342Calculator?

Out the numbers 600, 501, 900, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.