GCD of 240, 900, 510, 420 Calculator

Given Input numbers are 240, 900, 510, 420

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (240, 900, 510, 420) = 30.

Given numbers are 240, 900, 510, 420

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹ x 5¹

Therefore, GCD of 240, 900, 510, 420 is 30.

Given numbers are 240, 900, 510, 420

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

Apply this formula for all numbers.

Step1:

LCM(240, 900) = 3600

GCD(240, 900) = ( 240 x 900 ) / 3600

= 240 / 900

= 240

Step2:

LCM(60, 510) = 1020

GCD(60, 510) = ( 60 x 510 ) / 1020

= 60 / 510

= 60

Step3:

LCM(30, 420) = 420

GCD(30, 420) = ( 30 x 420 ) / 420

= 30 / 420

= 30

So, Greatest Common Divisor of 240, 900, 510, 420 is 30

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 347, 347, 103
• GCD of 500, 369, 192, 753
• GCD of 668, 154, 537, 427
• GCD of 605, 298, 310, 237
• GCD of 531, 984, 842, 927

Given numbers are 240, 900, 510, 420
The greatest common divisor of numbers 240, 900, 510, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 900, 510, 420 is 30.

1. What is the GCD of 240, 900, 510, 420?

GCD of given numbers 240, 900, 510, 420 is 30

2. How to calculate the greatest common divisor of 240, 900, 510, 420?

We can find the highest common divisor of 240, 900, 510, 420 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 240, 900, 510, 420 i.e 30.

3. How can I use the GCD of 240, 900, 510, 420Calculator?

Out the numbers 240, 900, 510, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.