GCD of 831, 375, 510, 474 Calculator

Given Input numbers are 831, 375, 510, 474

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 375 :

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

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (831, 375, 510, 474) = 3.

Given numbers are 831, 375, 510, 474

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 831, 375, 510, 474 is 3.

Given numbers are 831, 375, 510, 474

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

Apply this formula for all numbers.

Step1:

LCM(831, 375) = 103875

GCD(831, 375) = ( 831 x 375 ) / 103875

= 831 / 375

= 831

Step2:

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

= 3 / 510

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 831, 375, 510, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 174, 868, 586
• GCD of 124, 970, 996, 200
• GCD of 564, 326, 424, 921
• GCD of 409, 759, 339, 406
• GCD of 666, 428, 380, 938

Given numbers are 831, 375, 510, 474
The greatest common divisor of numbers 831, 375, 510, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 375, 510, 474 is 3.

1. What is the GCD of 831, 375, 510, 474?

GCD of given numbers 831, 375, 510, 474 is 3

2. How to calculate the greatest common divisor of 831, 375, 510, 474?

We can find the highest common divisor of 831, 375, 510, 474 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 831, 375, 510, 474 i.e 3.

3. How can I use the GCD of 831, 375, 510, 474Calculator?

Out the numbers 831, 375, 510, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.