GCD of 870, 345, 301, 331 Calculator

Given Input numbers are 870, 345, 301, 331

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 345 :

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

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

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (870, 345, 301, 331) = 1.

Given numbers are 870, 345, 301, 331

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 345 are 3 x 5 x 23

Prime factors of 301 are 7 x 43

Prime factors of 331 are 331

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

Given numbers are 870, 345, 301, 331

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

Apply this formula for all numbers.

Step1:

LCM(870, 345) = 20010

GCD(870, 345) = ( 870 x 345 ) / 20010

= 870 / 345

= 870

Step2:

LCM(15, 301) = 4515

GCD(15, 301) = ( 15 x 301 ) / 4515

= 15 / 301

= 15

Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

So, Greatest Common Divisor of 870, 345, 301, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 121, 788, 476
• GCD of 209, 941, 829, 761
• GCD of 822, 186, 768, 881
• GCD of 540, 539, 198, 663
• GCD of 574, 160, 636, 769

Given numbers are 870, 345, 301, 331
The greatest common divisor of numbers 870, 345, 301, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 345, 301, 331 is 1.

1. What is the GCD of 870, 345, 301, 331?

GCD of given numbers 870, 345, 301, 331 is 1

2. How to calculate the greatest common divisor of 870, 345, 301, 331?

We can find the highest common divisor of 870, 345, 301, 331 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 870, 345, 301, 331 i.e 1.

3. How can I use the GCD of 870, 345, 301, 331Calculator?

Out the numbers 870, 345, 301, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.