GCD of 825, 716, 828, 302 Calculator

Given Input numbers are 825, 716, 828, 302

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (825, 716, 828, 302) = 1.

Given numbers are 825, 716, 828, 302

The list of prime factors of all numbers are

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

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 302 are 2 x 151

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

Given numbers are 825, 716, 828, 302

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

Apply this formula for all numbers.

Step1:

LCM(825, 716) = 590700

GCD(825, 716) = ( 825 x 716 ) / 590700

= 825 / 716

= 825

Step2:

LCM(1, 828) = 828

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

= 1 / 828

= 1

Step3:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1

So, Greatest Common Divisor of 825, 716, 828, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 919, 327, 249
• GCD of 505, 484, 593, 987
• GCD of 938, 154, 131, 689
• GCD of 547, 344, 784, 251
• GCD of 229, 359, 891, 148

Given numbers are 825, 716, 828, 302
The greatest common divisor of numbers 825, 716, 828, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 716, 828, 302 is 1.

1. What is the GCD of 825, 716, 828, 302?

GCD of given numbers 825, 716, 828, 302 is 1

2. How to calculate the greatest common divisor of 825, 716, 828, 302?

We can find the highest common divisor of 825, 716, 828, 302 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, 716, 828, 302 i.e 1.

3. How can I use the GCD of 825, 716, 828, 302Calculator?

Out the numbers 825, 716, 828, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.