GCD of 586, 838, 952, 798 Calculator

Given Input numbers are 586, 838, 952, 798

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

Divisors of 586 :

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

1, 2, 293, 586

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (586, 838, 952, 798) = 2.

Given numbers are 586, 838, 952, 798

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 838 are 2 x 419

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 586, 838, 952, 798 is 2.

Given numbers are 586, 838, 952, 798

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

Apply this formula for all numbers.

Step1:

LCM(586, 838) = 245534

GCD(586, 838) = ( 586 x 838 ) / 245534

= 586 / 838

= 586

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

So, Greatest Common Divisor of 586, 838, 952, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 441, 844, 484
• GCD of 265, 199, 531, 769
• GCD of 253, 786, 618, 977
• GCD of 994, 461, 885, 748
• GCD of 180, 651, 209, 629

Given numbers are 586, 838, 952, 798
The greatest common divisor of numbers 586, 838, 952, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 838, 952, 798 is 2.

1. What is the GCD of 586, 838, 952, 798?

GCD of given numbers 586, 838, 952, 798 is 2

2. How to calculate the greatest common divisor of 586, 838, 952, 798?

We can find the highest common divisor of 586, 838, 952, 798 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 586, 838, 952, 798 i.e 2.

3. How can I use the GCD of 586, 838, 952, 798Calculator?

Out the numbers 586, 838, 952, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.