GCD of 753, 820, 300, 180 Calculator

Given Input numbers are 753, 820, 300, 180

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

GCD of numbers is the greatest common divisor

So, the GCD (753, 820, 300, 180) = 1.

Given numbers are 753, 820, 300, 180

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 753, 820, 300, 180

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

Apply this formula for all numbers.

Step1:

LCM(753, 820) = 617460

GCD(753, 820) = ( 753 x 820 ) / 617460

= 753 / 820

= 753

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 753, 820, 300, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 895, 744, 235
• GCD of 131, 365, 830, 365
• GCD of 250, 229, 422, 365
• GCD of 871, 203, 669, 835
• GCD of 778, 435, 800, 897

Given numbers are 753, 820, 300, 180
The greatest common divisor of numbers 753, 820, 300, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 820, 300, 180 is 1.

1. What is the GCD of 753, 820, 300, 180?

GCD of given numbers 753, 820, 300, 180 is 1

2. How to calculate the greatest common divisor of 753, 820, 300, 180?

We can find the highest common divisor of 753, 820, 300, 180 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, 820, 300, 180 i.e 1.

3. How can I use the GCD of 753, 820, 300, 180Calculator?

Out the numbers 753, 820, 300, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.