GCD of 690, 810, 390, 375 Calculator

Given Input numbers are 690, 810, 390, 375

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (690, 810, 390, 375) = 15.

Given numbers are 690, 810, 390, 375

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

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

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 690, 810, 390, 375 is 15.

Given numbers are 690, 810, 390, 375

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

Apply this formula for all numbers.

Step1:

LCM(690, 810) = 18630

GCD(690, 810) = ( 690 x 810 ) / 18630

= 690 / 810

= 690

Step2:

LCM(30, 390) = 390

GCD(30, 390) = ( 30 x 390 ) / 390

= 30 / 390

= 30

Step3:

LCM(30, 375) = 750

GCD(30, 375) = ( 30 x 375 ) / 750

= 30 / 375

= 30

So, Greatest Common Divisor of 690, 810, 390, 375 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 202, 510, 305
• GCD of 757, 183, 146, 614
• GCD of 854, 540, 558, 423
• GCD of 134, 893, 688, 338
• GCD of 392, 247, 875, 265

Given numbers are 690, 810, 390, 375
The greatest common divisor of numbers 690, 810, 390, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 810, 390, 375 is 15.

1. What is the GCD of 690, 810, 390, 375?

GCD of given numbers 690, 810, 390, 375 is 15

2. How to calculate the greatest common divisor of 690, 810, 390, 375?

We can find the highest common divisor of 690, 810, 390, 375 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 690, 810, 390, 375 i.e 15.

3. How can I use the GCD of 690, 810, 390, 375Calculator?

Out the numbers 690, 810, 390, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.