GCD of 105, 325, 150, 586 Calculator

Given Input numbers are 105, 325, 150, 586

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (105, 325, 150, 586) = 1.

Given numbers are 105, 325, 150, 586

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 325 are 5 x 5 x 13

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 586 are 2 x 293

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

Given numbers are 105, 325, 150, 586

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

Apply this formula for all numbers.

Step1:

LCM(105, 325) = 6825

GCD(105, 325) = ( 105 x 325 ) / 6825

= 105 / 325

= 105

Step2:

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

= 5 / 150

= 5

Step3:

LCM(5, 586) = 2930

GCD(5, 586) = ( 5 x 586 ) / 2930

= 5 / 586

= 5

So, Greatest Common Divisor of 105, 325, 150, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 814, 796, 932
• GCD of 174, 148, 264, 693
• GCD of 410, 484, 399, 977
• GCD of 212, 348, 837, 174
• GCD of 183, 447, 699, 439

Given numbers are 105, 325, 150, 586
The greatest common divisor of numbers 105, 325, 150, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 325, 150, 586 is 1.

1. What is the GCD of 105, 325, 150, 586?

GCD of given numbers 105, 325, 150, 586 is 1

2. How to calculate the greatest common divisor of 105, 325, 150, 586?

We can find the highest common divisor of 105, 325, 150, 586 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 105, 325, 150, 586 i.e 1.

3. How can I use the GCD of 105, 325, 150, 586Calculator?

Out the numbers 105, 325, 150, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.