GCD of 621, 300, 135, 597 Calculator

Given Input numbers are 621, 300, 135, 597

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (621, 300, 135, 597) = 3.

Given numbers are 621, 300, 135, 597

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 597 are 3 x 199

The highest common occurrence is 3¹

Therefore, GCD of 621, 300, 135, 597 is 3.

Given numbers are 621, 300, 135, 597

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

Apply this formula for all numbers.

Step1:

LCM(621, 300) = 62100

GCD(621, 300) = ( 621 x 300 ) / 62100

= 621 / 300

= 621

Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

Step3:

LCM(3, 597) = 597

GCD(3, 597) = ( 3 x 597 ) / 597

= 3 / 597

= 3

So, Greatest Common Divisor of 621, 300, 135, 597 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 378, 224, 511
• GCD of 149, 529, 574, 324
• GCD of 191, 761, 881, 698
• GCD of 490, 595, 814, 196
• GCD of 266, 418, 410, 644

Given numbers are 621, 300, 135, 597
The greatest common divisor of numbers 621, 300, 135, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 300, 135, 597 is 3.

1. What is the GCD of 621, 300, 135, 597?

GCD of given numbers 621, 300, 135, 597 is 3

2. How to calculate the greatest common divisor of 621, 300, 135, 597?

We can find the highest common divisor of 621, 300, 135, 597 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 621, 300, 135, 597 i.e 3.

3. How can I use the GCD of 621, 300, 135, 597Calculator?

Out the numbers 621, 300, 135, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.