GCD of 828, 645, 38, 991 Calculator

Given Input numbers are 828, 645, 38, 991

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (828, 645, 38, 991) = 1.

Given numbers are 828, 645, 38, 991

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 645 are 3 x 5 x 43

Prime factors of 38 are 2 x 19

Prime factors of 991 are 991

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

Given numbers are 828, 645, 38, 991

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

Apply this formula for all numbers.

Step1:

LCM(828, 645) = 178020

GCD(828, 645) = ( 828 x 645 ) / 178020

= 828 / 645

= 828

Step2:

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

= 3 / 38

= 3

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 828, 645, 38, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 798, 77, 267
• GCD of 407, 983, 36, 607
• GCD of 440, 115, 77, 494
• GCD of 729, 880, 36, 718
• GCD of 693, 571, 20, 904

Given numbers are 828, 645, 38, 991
The greatest common divisor of numbers 828, 645, 38, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 645, 38, 991 is 1.

1. What is the GCD of 828, 645, 38, 991?

GCD of given numbers 828, 645, 38, 991 is 1

2. How to calculate the greatest common divisor of 828, 645, 38, 991?

We can find the highest common divisor of 828, 645, 38, 991 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, 645, 38, 991 i.e 1.

3. How can I use the GCD of 828, 645, 38, 991Calculator?

Out the numbers 828, 645, 38, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.