GCD of 501, 378, 300, 768 Calculator

Given Input numbers are 501, 378, 300, 768

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (501, 378, 300, 768) = 3.

Given numbers are 501, 378, 300, 768

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 501, 378, 300, 768 is 3.

Given numbers are 501, 378, 300, 768

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

Apply this formula for all numbers.

Step1:

LCM(501, 378) = 63126

GCD(501, 378) = ( 501 x 378 ) / 63126

= 501 / 378

= 501

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

Step3:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

So, Greatest Common Divisor of 501, 378, 300, 768 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 595, 247, 237
• GCD of 476, 201, 313, 235
• GCD of 477, 218, 102, 677
• GCD of 184, 736, 478, 691
• GCD of 611, 422, 120, 605

Given numbers are 501, 378, 300, 768
The greatest common divisor of numbers 501, 378, 300, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 378, 300, 768 is 3.

1. What is the GCD of 501, 378, 300, 768?

GCD of given numbers 501, 378, 300, 768 is 3

2. How to calculate the greatest common divisor of 501, 378, 300, 768?

We can find the highest common divisor of 501, 378, 300, 768 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 501, 378, 300, 768 i.e 3.

3. How can I use the GCD of 501, 378, 300, 768Calculator?

Out the numbers 501, 378, 300, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.