GCD of 175, 311, 342, 382 Calculator

Given Input numbers are 175, 311, 342, 382

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (175, 311, 342, 382) = 1.

Given numbers are 175, 311, 342, 382

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 311 are 311

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 382 are 2 x 191

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 175, 311, 342, 382

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

Apply this formula for all numbers.

Step1:

LCM(175, 311) = 54425

GCD(175, 311) = ( 175 x 311 ) / 54425

= 175 / 311

= 175

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

So, Greatest Common Divisor of 175, 311, 342, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 162, 605, 633
• GCD of 517, 167, 705, 885
• GCD of 133, 646, 610, 198
• GCD of 734, 238, 928, 220
• GCD of 348, 218, 812, 427

Given numbers are 175, 311, 342, 382
The greatest common divisor of numbers 175, 311, 342, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 311, 342, 382 is 1.

1. What is the GCD of 175, 311, 342, 382?

GCD of given numbers 175, 311, 342, 382 is 1

2. How to calculate the greatest common divisor of 175, 311, 342, 382?

We can find the highest common divisor of 175, 311, 342, 382 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 175, 311, 342, 382 i.e 1.

3. How can I use the GCD of 175, 311, 342, 382Calculator?

Out the numbers 175, 311, 342, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.