GCD of 315, 586, 209, 742 Calculator

Given Input numbers are 315, 586, 209, 742

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 586 :

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

1, 2, 293, 586

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (315, 586, 209, 742) = 1.

Given numbers are 315, 586, 209, 742

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 586 are 2 x 293

Prime factors of 209 are 11 x 19

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 315, 586, 209, 742

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

Apply this formula for all numbers.

Step1:

LCM(315, 586) = 184590

GCD(315, 586) = ( 315 x 586 ) / 184590

= 315 / 586

= 315

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 315, 586, 209, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 574, 722, 606
• GCD of 834, 170, 600, 493
• GCD of 370, 682, 804, 991
• GCD of 264, 753, 566, 311
• GCD of 380, 922, 224, 118

Given numbers are 315, 586, 209, 742
The greatest common divisor of numbers 315, 586, 209, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 586, 209, 742 is 1.

1. What is the GCD of 315, 586, 209, 742?

GCD of given numbers 315, 586, 209, 742 is 1

2. How to calculate the greatest common divisor of 315, 586, 209, 742?

We can find the highest common divisor of 315, 586, 209, 742 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 315, 586, 209, 742 i.e 1.

3. How can I use the GCD of 315, 586, 209, 742Calculator?

Out the numbers 315, 586, 209, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.