GCD of 171, 240, 354, 831 Calculator

Given Input numbers are 171, 240, 354, 831

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 831 :

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

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (171, 240, 354, 831) = 3.

Given numbers are 171, 240, 354, 831

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 354 are 2 x 3 x 59

Prime factors of 831 are 3 x 277

The highest common occurrence is 3¹

Therefore, GCD of 171, 240, 354, 831 is 3.

Given numbers are 171, 240, 354, 831

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

Apply this formula for all numbers.

Step1:

LCM(171, 240) = 13680

GCD(171, 240) = ( 171 x 240 ) / 13680

= 171 / 240

= 171

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3

So, Greatest Common Divisor of 171, 240, 354, 831 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 471, 831, 177
• GCD of 729, 556, 356, 533
• GCD of 810, 116, 467, 980
• GCD of 672, 383, 570, 772
• GCD of 578, 939, 237, 187

Given numbers are 171, 240, 354, 831
The greatest common divisor of numbers 171, 240, 354, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 240, 354, 831 is 3.

1. What is the GCD of 171, 240, 354, 831?

GCD of given numbers 171, 240, 354, 831 is 3

2. How to calculate the greatest common divisor of 171, 240, 354, 831?

We can find the highest common divisor of 171, 240, 354, 831 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 171, 240, 354, 831 i.e 3.

3. How can I use the GCD of 171, 240, 354, 831Calculator?

Out the numbers 171, 240, 354, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.