GCD of 753, 180, 360, 390 Calculator

Given Input numbers are 753, 180, 360, 390

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (753, 180, 360, 390) = 3.

Given numbers are 753, 180, 360, 390

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 753, 180, 360, 390 is 3.

Given numbers are 753, 180, 360, 390

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

Apply this formula for all numbers.

Step1:

LCM(753, 180) = 45180

GCD(753, 180) = ( 753 x 180 ) / 45180

= 753 / 180

= 753

Step2:

LCM(3, 360) = 360

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

= 3 / 360

= 3

Step3:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

So, Greatest Common Divisor of 753, 180, 360, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 900, 435, 911
• GCD of 145, 215, 636, 405
• GCD of 381, 452, 382, 763
• GCD of 896, 215, 804, 452
• GCD of 289, 540, 191, 131

Given numbers are 753, 180, 360, 390
The greatest common divisor of numbers 753, 180, 360, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 180, 360, 390 is 3.

1. What is the GCD of 753, 180, 360, 390?

GCD of given numbers 753, 180, 360, 390 is 3

2. How to calculate the greatest common divisor of 753, 180, 360, 390?

We can find the highest common divisor of 753, 180, 360, 390 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 753, 180, 360, 390 i.e 3.

3. How can I use the GCD of 753, 180, 360, 390Calculator?

Out the numbers 753, 180, 360, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.