GCD of 360, 621, 153, 282 Calculator

Given Input numbers are 360, 621, 153, 282

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 621 :

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

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (360, 621, 153, 282) = 3.

Given numbers are 360, 621, 153, 282

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 153 are 3 x 3 x 17

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 360, 621, 153, 282 is 3.

Given numbers are 360, 621, 153, 282

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

Apply this formula for all numbers.

Step1:

LCM(360, 621) = 24840

GCD(360, 621) = ( 360 x 621 ) / 24840

= 360 / 621

= 360

Step2:

LCM(9, 153) = 153

GCD(9, 153) = ( 9 x 153 ) / 153

= 9 / 153

= 9

Step3:

LCM(9, 282) = 846

GCD(9, 282) = ( 9 x 282 ) / 846

= 9 / 282

= 9

So, Greatest Common Divisor of 360, 621, 153, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 943, 953, 209
• GCD of 203, 869, 987, 581
• GCD of 100, 268, 903, 631
• GCD of 620, 517, 717, 318
• GCD of 644, 494, 796, 755

Given numbers are 360, 621, 153, 282
The greatest common divisor of numbers 360, 621, 153, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 621, 153, 282 is 3.

1. What is the GCD of 360, 621, 153, 282?

GCD of given numbers 360, 621, 153, 282 is 3

2. How to calculate the greatest common divisor of 360, 621, 153, 282?

We can find the highest common divisor of 360, 621, 153, 282 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 360, 621, 153, 282 i.e 3.

3. How can I use the GCD of 360, 621, 153, 282Calculator?

Out the numbers 360, 621, 153, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.