GCD of 838, 736, 582, 825 Calculator

Given Input numbers are 838, 736, 582, 825

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

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (838, 736, 582, 825) = 1.

Given numbers are 838, 736, 582, 825

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 582 are 2 x 3 x 97

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 838, 736, 582, 825

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

Apply this formula for all numbers.

Step1:

LCM(838, 736) = 308384

GCD(838, 736) = ( 838 x 736 ) / 308384

= 838 / 736

= 838

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 838, 736, 582, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 928, 724, 303
• GCD of 433, 435, 519, 327
• GCD of 297, 385, 320, 996
• GCD of 440, 351, 830, 474
• GCD of 881, 733, 857, 601

Given numbers are 838, 736, 582, 825
The greatest common divisor of numbers 838, 736, 582, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 736, 582, 825 is 1.

1. What is the GCD of 838, 736, 582, 825?

GCD of given numbers 838, 736, 582, 825 is 1

2. How to calculate the greatest common divisor of 838, 736, 582, 825?

We can find the highest common divisor of 838, 736, 582, 825 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 838, 736, 582, 825 i.e 1.

3. How can I use the GCD of 838, 736, 582, 825Calculator?

Out the numbers 838, 736, 582, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.