GCD of 825, 589, 746, 546 Calculator

Given Input numbers are 825, 589, 746, 546

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

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (825, 589, 746, 546) = 1.

Given numbers are 825, 589, 746, 546

The list of prime factors of all numbers are

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

Prime factors of 589 are 19 x 31

Prime factors of 746 are 2 x 373

Prime factors of 546 are 2 x 3 x 7 x 13

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

Given numbers are 825, 589, 746, 546

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

Apply this formula for all numbers.

Step1:

LCM(825, 589) = 485925

GCD(825, 589) = ( 825 x 589 ) / 485925

= 825 / 589

= 825

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

So, Greatest Common Divisor of 825, 589, 746, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 537, 415, 149
• GCD of 528, 476, 403, 950
• GCD of 630, 540, 813, 579
• GCD of 182, 184, 464, 519
• GCD of 838, 330, 941, 565

Given numbers are 825, 589, 746, 546
The greatest common divisor of numbers 825, 589, 746, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 589, 746, 546 is 1.

1. What is the GCD of 825, 589, 746, 546?

GCD of given numbers 825, 589, 746, 546 is 1

2. How to calculate the greatest common divisor of 825, 589, 746, 546?

We can find the highest common divisor of 825, 589, 746, 546 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 825, 589, 746, 546 i.e 1.

3. How can I use the GCD of 825, 589, 746, 546Calculator?

Out the numbers 825, 589, 746, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.