GCD of 500, 231, 345, 160 Calculator

Given Input numbers are 500, 231, 345, 160

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (500, 231, 345, 160) = 1.

Given numbers are 500, 231, 345, 160

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 231 are 3 x 7 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 500, 231, 345, 160

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

Apply this formula for all numbers.

Step1:

LCM(500, 231) = 115500

GCD(500, 231) = ( 500 x 231 ) / 115500

= 500 / 231

= 500

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1

So, Greatest Common Divisor of 500, 231, 345, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 364, 251, 315
• GCD of 550, 572, 147, 689
• GCD of 259, 850, 229, 583
• GCD of 885, 258, 319, 771
• GCD of 751, 752, 583, 988

Given numbers are 500, 231, 345, 160
The greatest common divisor of numbers 500, 231, 345, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 231, 345, 160 is 1.

1. What is the GCD of 500, 231, 345, 160?

GCD of given numbers 500, 231, 345, 160 is 1

2. How to calculate the greatest common divisor of 500, 231, 345, 160?

We can find the highest common divisor of 500, 231, 345, 160 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 500, 231, 345, 160 i.e 1.

3. How can I use the GCD of 500, 231, 345, 160Calculator?

Out the numbers 500, 231, 345, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.