GCD of 153, 294, 468, 360 Calculator

Given Input numbers are 153, 294, 468, 360

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

Divisors of 153 :

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

1, 3, 9, 17, 51, 153

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

GCD of numbers is the greatest common divisor

So, the GCD (153, 294, 468, 360) = 3.

Given numbers are 153, 294, 468, 360

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 153, 294, 468, 360 is 3.

Given numbers are 153, 294, 468, 360

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

Apply this formula for all numbers.

Step1:

LCM(153, 294) = 14994

GCD(153, 294) = ( 153 x 294 ) / 14994

= 153 / 294

= 153

Step2:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 153, 294, 468, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 244, 146, 279
• GCD of 125, 786, 695, 940
• GCD of 266, 465, 866, 188
• GCD of 653, 385, 294, 903
• GCD of 261, 823, 804, 205

Given numbers are 153, 294, 468, 360
The greatest common divisor of numbers 153, 294, 468, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 294, 468, 360 is 3.

1. What is the GCD of 153, 294, 468, 360?

GCD of given numbers 153, 294, 468, 360 is 3

2. How to calculate the greatest common divisor of 153, 294, 468, 360?

We can find the highest common divisor of 153, 294, 468, 360 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 153, 294, 468, 360 i.e 3.

3. How can I use the GCD of 153, 294, 468, 360Calculator?

Out the numbers 153, 294, 468, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.