GCD of 564, 300, 602, 900 Calculator

Given Input numbers are 564, 300, 602, 900

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 300, 602, 900) = 2.

Given numbers are 564, 300, 602, 900

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 602 are 2 x 7 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 564, 300, 602, 900 is 2.

Given numbers are 564, 300, 602, 900

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

Apply this formula for all numbers.

Step1:

LCM(564, 300) = 14100

GCD(564, 300) = ( 564 x 300 ) / 14100

= 564 / 300

= 564

Step2:

LCM(12, 602) = 3612

GCD(12, 602) = ( 12 x 602 ) / 3612

= 12 / 602

= 12

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 564, 300, 602, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 789, 621, 582
• GCD of 267, 244, 833, 481
• GCD of 810, 993, 149, 430
• GCD of 124, 310, 379, 734
• GCD of 248, 584, 120, 711

Given numbers are 564, 300, 602, 900
The greatest common divisor of numbers 564, 300, 602, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 300, 602, 900 is 2.

1. What is the GCD of 564, 300, 602, 900?

GCD of given numbers 564, 300, 602, 900 is 2

2. How to calculate the greatest common divisor of 564, 300, 602, 900?

We can find the highest common divisor of 564, 300, 602, 900 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 564, 300, 602, 900 i.e 2.

3. How can I use the GCD of 564, 300, 602, 900Calculator?

Out the numbers 564, 300, 602, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.