GCD of 300, 524, 687, 420 Calculator

Given Input numbers are 300, 524, 687, 420

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

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (300, 524, 687, 420) = 1.

Given numbers are 300, 524, 687, 420

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 687 are 3 x 229

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 300, 524, 687, 420

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

Apply this formula for all numbers.

Step1:

LCM(300, 524) = 39300

GCD(300, 524) = ( 300 x 524 ) / 39300

= 300 / 524

= 300

Step2:

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

= 4 / 687

= 4

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 300, 524, 687, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 565, 409, 469
• GCD of 135, 481, 104, 758
• GCD of 753, 897, 626, 617
• GCD of 899, 298, 582, 371
• GCD of 123, 445, 771, 695

Given numbers are 300, 524, 687, 420
The greatest common divisor of numbers 300, 524, 687, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 524, 687, 420 is 1.

1. What is the GCD of 300, 524, 687, 420?

GCD of given numbers 300, 524, 687, 420 is 1

2. How to calculate the greatest common divisor of 300, 524, 687, 420?

We can find the highest common divisor of 300, 524, 687, 420 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 300, 524, 687, 420 i.e 1.

3. How can I use the GCD of 300, 524, 687, 420Calculator?

Out the numbers 300, 524, 687, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.