GCD of 585, 632, 838, 314 Calculator

Given Input numbers are 585, 632, 838, 314

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (585, 632, 838, 314) = 1.

Given numbers are 585, 632, 838, 314

The list of prime factors of all numbers are

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

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 838 are 2 x 419

Prime factors of 314 are 2 x 157

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

Given numbers are 585, 632, 838, 314

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

Apply this formula for all numbers.

Step1:

LCM(585, 632) = 369720

GCD(585, 632) = ( 585 x 632 ) / 369720

= 585 / 632

= 585

Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 585, 632, 838, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 345, 516, 604
• GCD of 738, 362, 365, 326
• GCD of 705, 728, 799, 810
• GCD of 513, 807, 382, 893
• GCD of 199, 879, 231, 512

Given numbers are 585, 632, 838, 314
The greatest common divisor of numbers 585, 632, 838, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 632, 838, 314 is 1.

1. What is the GCD of 585, 632, 838, 314?

GCD of given numbers 585, 632, 838, 314 is 1

2. How to calculate the greatest common divisor of 585, 632, 838, 314?

We can find the highest common divisor of 585, 632, 838, 314 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, 632, 838, 314 i.e 1.

3. How can I use the GCD of 585, 632, 838, 314Calculator?

Out the numbers 585, 632, 838, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.