GCD of 630, 165, 273, 240 Calculator

Given Input numbers are 630, 165, 273, 240

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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

GCD of numbers is the greatest common divisor

So, the GCD (630, 165, 273, 240) = 3.

Given numbers are 630, 165, 273, 240

The list of prime factors of all numbers are

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 273 are 3 x 7 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 630, 165, 273, 240 is 3.

Given numbers are 630, 165, 273, 240

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

Apply this formula for all numbers.

Step1:

LCM(630, 165) = 6930

GCD(630, 165) = ( 630 x 165 ) / 6930

= 630 / 165

= 630

Step2:

LCM(15, 273) = 1365

GCD(15, 273) = ( 15 x 273 ) / 1365

= 15 / 273

= 15

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 630, 165, 273, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 483, 591, 845
• GCD of 258, 390, 951, 605
• GCD of 921, 124, 146, 244
• GCD of 585, 552, 283, 436
• GCD of 600, 654, 886, 120

Given numbers are 630, 165, 273, 240
The greatest common divisor of numbers 630, 165, 273, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 165, 273, 240 is 3.

1. What is the GCD of 630, 165, 273, 240?

GCD of given numbers 630, 165, 273, 240 is 3

2. How to calculate the greatest common divisor of 630, 165, 273, 240?

We can find the highest common divisor of 630, 165, 273, 240 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 630, 165, 273, 240 i.e 3.

3. How can I use the GCD of 630, 165, 273, 240Calculator?

Out the numbers 630, 165, 273, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.