GCD of 342, 567, 31, 469 Calculator

Given Input numbers are 342, 567, 31, 469

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

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (342, 567, 31, 469) = 1.

Given numbers are 342, 567, 31, 469

The list of prime factors of all numbers are

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 31 are 31

Prime factors of 469 are 7 x 67

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

Given numbers are 342, 567, 31, 469

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

Apply this formula for all numbers.

Step1:

LCM(342, 567) = 21546

GCD(342, 567) = ( 342 x 567 ) / 21546

= 342 / 567

= 342

Step2:

LCM(9, 31) = 279

GCD(9, 31) = ( 9 x 31 ) / 279

= 9 / 31

= 9

Step3:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

So, Greatest Common Divisor of 342, 567, 31, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 633, 63, 770
• GCD of 588, 169, 43, 809
• GCD of 152, 582, 76, 154
• GCD of 674, 471, 41, 672
• GCD of 170, 900, 35, 880

Given numbers are 342, 567, 31, 469
The greatest common divisor of numbers 342, 567, 31, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 567, 31, 469 is 1.

1. What is the GCD of 342, 567, 31, 469?

GCD of given numbers 342, 567, 31, 469 is 1

2. How to calculate the greatest common divisor of 342, 567, 31, 469?

We can find the highest common divisor of 342, 567, 31, 469 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 342, 567, 31, 469 i.e 1.

3. How can I use the GCD of 342, 567, 31, 469Calculator?

Out the numbers 342, 567, 31, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.