GCD of 825, 748, 786, 533 Calculator

Given Input numbers are 825, 748, 786, 533

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

GCD of numbers is the greatest common divisor

So, the GCD (825, 748, 786, 533) = 1.

Given numbers are 825, 748, 786, 533

The list of prime factors of all numbers are

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

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 786 are 2 x 3 x 131

Prime factors of 533 are 13 x 41

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

Given numbers are 825, 748, 786, 533

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

Apply this formula for all numbers.

Step1:

LCM(825, 748) = 56100

GCD(825, 748) = ( 825 x 748 ) / 56100

= 825 / 748

= 825

Step2:

LCM(11, 786) = 8646

GCD(11, 786) = ( 11 x 786 ) / 8646

= 11 / 786

= 11

Step3:

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

= 1 / 533

= 1

So, Greatest Common Divisor of 825, 748, 786, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 719, 853, 767
• GCD of 765, 886, 713, 272
• GCD of 672, 174, 644, 275
• GCD of 905, 441, 418, 637
• GCD of 813, 234, 877, 465

Given numbers are 825, 748, 786, 533
The greatest common divisor of numbers 825, 748, 786, 533 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 748, 786, 533 is 1.

1. What is the GCD of 825, 748, 786, 533?

GCD of given numbers 825, 748, 786, 533 is 1

2. How to calculate the greatest common divisor of 825, 748, 786, 533?

We can find the highest common divisor of 825, 748, 786, 533 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, 748, 786, 533 i.e 1.

3. How can I use the GCD of 825, 748, 786, 533Calculator?

Out the numbers 825, 748, 786, 533 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.