GCD of 823, 198, 756, 709 Calculator

Given Input numbers are 823, 198, 756, 709

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (823, 198, 756, 709) = 1.

Given numbers are 823, 198, 756, 709

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 709 are 709

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

Given numbers are 823, 198, 756, 709

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

Apply this formula for all numbers.

Step1:

LCM(823, 198) = 162954

GCD(823, 198) = ( 823 x 198 ) / 162954

= 823 / 198

= 823

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 823, 198, 756, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 449, 990, 188
• GCD of 449, 435, 714, 304
• GCD of 436, 161, 455, 359
• GCD of 307, 607, 979, 118
• GCD of 378, 258, 839, 770

Given numbers are 823, 198, 756, 709
The greatest common divisor of numbers 823, 198, 756, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 198, 756, 709 is 1.

1. What is the GCD of 823, 198, 756, 709?

GCD of given numbers 823, 198, 756, 709 is 1

2. How to calculate the greatest common divisor of 823, 198, 756, 709?

We can find the highest common divisor of 823, 198, 756, 709 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 823, 198, 756, 709 i.e 1.

3. How can I use the GCD of 823, 198, 756, 709Calculator?

Out the numbers 823, 198, 756, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.