GCD of 240, 423, 510, 630 Calculator

Given Input numbers are 240, 423, 510, 630

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

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 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (240, 423, 510, 630) = 3.

Given numbers are 240, 423, 510, 630

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 423 are 3 x 3 x 47

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

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 240, 423, 510, 630 is 3.

Given numbers are 240, 423, 510, 630

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

Apply this formula for all numbers.

Step1:

LCM(240, 423) = 33840

GCD(240, 423) = ( 240 x 423 ) / 33840

= 240 / 423

= 240

Step2:

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

= 3 / 510

= 3

Step3:

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

= 3 / 630

= 3

So, Greatest Common Divisor of 240, 423, 510, 630 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 345, 646, 108
• GCD of 688, 615, 188, 371
• GCD of 967, 729, 648, 601
• GCD of 317, 189, 835, 965
• GCD of 815, 718, 653, 195

Given numbers are 240, 423, 510, 630
The greatest common divisor of numbers 240, 423, 510, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 423, 510, 630 is 3.

1. What is the GCD of 240, 423, 510, 630?

GCD of given numbers 240, 423, 510, 630 is 3

2. How to calculate the greatest common divisor of 240, 423, 510, 630?

We can find the highest common divisor of 240, 423, 510, 630 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, 423, 510, 630 i.e 3.

3. How can I use the GCD of 240, 423, 510, 630Calculator?

Out the numbers 240, 423, 510, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.