GCD of 585, 742, 335, 105 Calculator

Given Input numbers are 585, 742, 335, 105

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (585, 742, 335, 105) = 1.

Given numbers are 585, 742, 335, 105

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 335 are 5 x 67

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 585, 742, 335, 105

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

Apply this formula for all numbers.

Step1:

LCM(585, 742) = 434070

GCD(585, 742) = ( 585 x 742 ) / 434070

= 585 / 742

= 585

Step2:

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

= 1 / 335

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 585, 742, 335, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 804, 931, 957
• GCD of 286, 623, 572, 137
• GCD of 720, 543, 894, 675
• GCD of 399, 141, 331, 225
• GCD of 549, 176, 120, 785

Given numbers are 585, 742, 335, 105
The greatest common divisor of numbers 585, 742, 335, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 742, 335, 105 is 1.

1. What is the GCD of 585, 742, 335, 105?

GCD of given numbers 585, 742, 335, 105 is 1

2. How to calculate the greatest common divisor of 585, 742, 335, 105?

We can find the highest common divisor of 585, 742, 335, 105 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 585, 742, 335, 105 i.e 1.

3. How can I use the GCD of 585, 742, 335, 105Calculator?

Out the numbers 585, 742, 335, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.