GCD of 351, 285, 138, 600 Calculator

Given Input numbers are 351, 285, 138, 600

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

GCD of numbers is the greatest common divisor

So, the GCD (351, 285, 138, 600) = 3.

Given numbers are 351, 285, 138, 600

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 285 are 3 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 351, 285, 138, 600 is 3.

Given numbers are 351, 285, 138, 600

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

Apply this formula for all numbers.

Step1:

LCM(351, 285) = 33345

GCD(351, 285) = ( 351 x 285 ) / 33345

= 351 / 285

= 351

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

= 3 / 600

= 3

So, Greatest Common Divisor of 351, 285, 138, 600 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 257, 675, 488
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Given numbers are 351, 285, 138, 600
The greatest common divisor of numbers 351, 285, 138, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 285, 138, 600 is 3.

1. What is the GCD of 351, 285, 138, 600?

GCD of given numbers 351, 285, 138, 600 is 3

2. How to calculate the greatest common divisor of 351, 285, 138, 600?

We can find the highest common divisor of 351, 285, 138, 600 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 351, 285, 138, 600 i.e 3.

3. How can I use the GCD of 351, 285, 138, 600Calculator?

Out the numbers 351, 285, 138, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.