GCD of 828, 198, 745, 827 Calculator

Given Input numbers are 828, 198, 745, 827

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (828, 198, 745, 827) = 1.

Given numbers are 828, 198, 745, 827

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 198 are 2 x 3 x 3 x 11

Prime factors of 745 are 5 x 149

Prime factors of 827 are 827

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

Given numbers are 828, 198, 745, 827

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

Apply this formula for all numbers.

Step1:

LCM(828, 198) = 9108

GCD(828, 198) = ( 828 x 198 ) / 9108

= 828 / 198

= 828

Step2:

LCM(18, 745) = 13410

GCD(18, 745) = ( 18 x 745 ) / 13410

= 18 / 745

= 18

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 828, 198, 745, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 158, 507, 362
• GCD of 421, 648, 556, 420
• GCD of 246, 598, 477, 671
• GCD of 341, 423, 737, 497
• GCD of 444, 492, 665, 840

Given numbers are 828, 198, 745, 827
The greatest common divisor of numbers 828, 198, 745, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 198, 745, 827 is 1.

1. What is the GCD of 828, 198, 745, 827?

GCD of given numbers 828, 198, 745, 827 is 1

2. How to calculate the greatest common divisor of 828, 198, 745, 827?

We can find the highest common divisor of 828, 198, 745, 827 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, 198, 745, 827 i.e 1.

3. How can I use the GCD of 828, 198, 745, 827Calculator?

Out the numbers 828, 198, 745, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.