GCD of 825, 828, 948, 251 Calculator

Given Input numbers are 825, 828, 948, 251

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 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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

GCD of numbers is the greatest common divisor

So, the GCD (825, 828, 948, 251) = 1.

Given numbers are 825, 828, 948, 251

The list of prime factors of all numbers are

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

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

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 251 are 251

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

Given numbers are 825, 828, 948, 251

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

Apply this formula for all numbers.

Step1:

LCM(825, 828) = 227700

GCD(825, 828) = ( 825 x 828 ) / 227700

= 825 / 828

= 825

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

Step3:

LCM(3, 251) = 753

GCD(3, 251) = ( 3 x 251 ) / 753

= 3 / 251

= 3

So, Greatest Common Divisor of 825, 828, 948, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 297, 172, 779
• GCD of 803, 305, 236, 604
• GCD of 593, 671, 816, 979
• GCD of 720, 438, 860, 834
• GCD of 233, 207, 915, 196

Given numbers are 825, 828, 948, 251
The greatest common divisor of numbers 825, 828, 948, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 828, 948, 251 is 1.

1. What is the GCD of 825, 828, 948, 251?

GCD of given numbers 825, 828, 948, 251 is 1

2. How to calculate the greatest common divisor of 825, 828, 948, 251?

We can find the highest common divisor of 825, 828, 948, 251 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, 828, 948, 251 i.e 1.

3. How can I use the GCD of 825, 828, 948, 251Calculator?

Out the numbers 825, 828, 948, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.