GCD of 375, 495, 489, 699 Calculator

Given Input numbers are 375, 495, 489, 699

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

Divisors of 375 :

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

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (375, 495, 489, 699) = 3.

Given numbers are 375, 495, 489, 699

The list of prime factors of all numbers are

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

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 489 are 3 x 163

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 375, 495, 489, 699 is 3.

Given numbers are 375, 495, 489, 699

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

Apply this formula for all numbers.

Step1:

LCM(375, 495) = 12375

GCD(375, 495) = ( 375 x 495 ) / 12375

= 375 / 495

= 375

Step2:

LCM(15, 489) = 2445

GCD(15, 489) = ( 15 x 489 ) / 2445

= 15 / 489

= 15

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 375, 495, 489, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 813, 914, 738
• GCD of 965, 326, 654, 278
• GCD of 877, 395, 395, 731
• GCD of 405, 134, 936, 484
• GCD of 470, 615, 921, 472

Given numbers are 375, 495, 489, 699
The greatest common divisor of numbers 375, 495, 489, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 495, 489, 699 is 3.

1. What is the GCD of 375, 495, 489, 699?

GCD of given numbers 375, 495, 489, 699 is 3

2. How to calculate the greatest common divisor of 375, 495, 489, 699?

We can find the highest common divisor of 375, 495, 489, 699 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 375, 495, 489, 699 i.e 3.

3. How can I use the GCD of 375, 495, 489, 699Calculator?

Out the numbers 375, 495, 489, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.