GCD of 501, 456, 300, 870 Calculator

Given Input numbers are 501, 456, 300, 870

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (501, 456, 300, 870) = 3.

Given numbers are 501, 456, 300, 870

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 501, 456, 300, 870 is 3.

Given numbers are 501, 456, 300, 870

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

Apply this formula for all numbers.

Step1:

LCM(501, 456) = 76152

GCD(501, 456) = ( 501 x 456 ) / 76152

= 501 / 456

= 501

Step2:

LCM(3, 300) = 300

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

= 3 / 300

= 3

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 501, 456, 300, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 148, 467, 776
• GCD of 338, 385, 454, 465
• GCD of 316, 181, 909, 143
• GCD of 940, 246, 112, 558
• GCD of 495, 143, 145, 902

Given numbers are 501, 456, 300, 870
The greatest common divisor of numbers 501, 456, 300, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 456, 300, 870 is 3.

1. What is the GCD of 501, 456, 300, 870?

GCD of given numbers 501, 456, 300, 870 is 3

2. How to calculate the greatest common divisor of 501, 456, 300, 870?

We can find the highest common divisor of 501, 456, 300, 870 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, 456, 300, 870 i.e 3.

3. How can I use the GCD of 501, 456, 300, 870Calculator?

Out the numbers 501, 456, 300, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.