GCD of 390, 837, 753, 687 Calculator

Given Input numbers are 390, 837, 753, 687

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

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 687 :

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

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (390, 837, 753, 687) = 3.

Given numbers are 390, 837, 753, 687

The list of prime factors of all numbers are

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

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 753 are 3 x 251

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 390, 837, 753, 687 is 3.

Given numbers are 390, 837, 753, 687

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

Apply this formula for all numbers.

Step1:

LCM(390, 837) = 108810

GCD(390, 837) = ( 390 x 837 ) / 108810

= 390 / 837

= 390

Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 390, 837, 753, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 754, 554, 311
• GCD of 443, 172, 859, 180
• GCD of 279, 969, 895, 797
• GCD of 754, 132, 885, 823
• GCD of 649, 871, 187, 401

Given numbers are 390, 837, 753, 687
The greatest common divisor of numbers 390, 837, 753, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 837, 753, 687 is 3.

1. What is the GCD of 390, 837, 753, 687?

GCD of given numbers 390, 837, 753, 687 is 3

2. How to calculate the greatest common divisor of 390, 837, 753, 687?

We can find the highest common divisor of 390, 837, 753, 687 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 390, 837, 753, 687 i.e 3.

3. How can I use the GCD of 390, 837, 753, 687Calculator?

Out the numbers 390, 837, 753, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.