GCD of 828, 300, 46, 969 Calculator

Given Input numbers are 828, 300, 46, 969

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (828, 300, 46, 969) = 1.

Given numbers are 828, 300, 46, 969

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 46 are 2 x 23

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 828, 300, 46, 969

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

Apply this formula for all numbers.

Step1:

LCM(828, 300) = 20700

GCD(828, 300) = ( 828 x 300 ) / 20700

= 828 / 300

= 828

Step2:

LCM(12, 46) = 276

GCD(12, 46) = ( 12 x 46 ) / 276

= 12 / 46

= 12

Step3:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

So, Greatest Common Divisor of 828, 300, 46, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 736, 90, 219
• GCD of 246, 599, 42, 519
• GCD of 871, 478, 22, 499
• GCD of 352, 796, 45, 237
• GCD of 778, 278, 83, 601

Given numbers are 828, 300, 46, 969
The greatest common divisor of numbers 828, 300, 46, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 300, 46, 969 is 1.

1. What is the GCD of 828, 300, 46, 969?

GCD of given numbers 828, 300, 46, 969 is 1

2. How to calculate the greatest common divisor of 828, 300, 46, 969?

We can find the highest common divisor of 828, 300, 46, 969 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 828, 300, 46, 969 i.e 1.

3. How can I use the GCD of 828, 300, 46, 969Calculator?

Out the numbers 828, 300, 46, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.