GCD of 741, 442, 794, 828 Calculator

Given Input numbers are 741, 442, 794, 828

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (741, 442, 794, 828) = 1.

Given numbers are 741, 442, 794, 828

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 442 are 2 x 13 x 17

Prime factors of 794 are 2 x 397

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 741, 442, 794, 828

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

Apply this formula for all numbers.

Step1:

LCM(741, 442) = 25194

GCD(741, 442) = ( 741 x 442 ) / 25194

= 741 / 442

= 741

Step2:

LCM(13, 794) = 10322

GCD(13, 794) = ( 13 x 794 ) / 10322

= 13 / 794

= 13

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 741, 442, 794, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 139, 728, 325
• GCD of 829, 386, 965, 494
• GCD of 560, 238, 665, 129
• GCD of 599, 638, 610, 640
• GCD of 772, 938, 309, 440

Given numbers are 741, 442, 794, 828
The greatest common divisor of numbers 741, 442, 794, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 442, 794, 828 is 1.

1. What is the GCD of 741, 442, 794, 828?

GCD of given numbers 741, 442, 794, 828 is 1

2. How to calculate the greatest common divisor of 741, 442, 794, 828?

We can find the highest common divisor of 741, 442, 794, 828 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 741, 442, 794, 828 i.e 1.

3. How can I use the GCD of 741, 442, 794, 828Calculator?

Out the numbers 741, 442, 794, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.