GCD of 823, 742, 826, 308 Calculator

Given Input numbers are 823, 742, 826, 308

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (823, 742, 826, 308) = 1.

Given numbers are 823, 742, 826, 308

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 742 are 2 x 7 x 53

Prime factors of 826 are 2 x 7 x 59

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 823, 742, 826, 308

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

Apply this formula for all numbers.

Step1:

LCM(823, 742) = 610666

GCD(823, 742) = ( 823 x 742 ) / 610666

= 823 / 742

= 823

Step2:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 823, 742, 826, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 437, 364, 179
• GCD of 989, 528, 794, 138
• GCD of 598, 201, 452, 911
• GCD of 390, 994, 352, 915
• GCD of 143, 923, 250, 339

Given numbers are 823, 742, 826, 308
The greatest common divisor of numbers 823, 742, 826, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 742, 826, 308 is 1.

1. What is the GCD of 823, 742, 826, 308?

GCD of given numbers 823, 742, 826, 308 is 1

2. How to calculate the greatest common divisor of 823, 742, 826, 308?

We can find the highest common divisor of 823, 742, 826, 308 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, 742, 826, 308 i.e 1.

3. How can I use the GCD of 823, 742, 826, 308Calculator?

Out the numbers 823, 742, 826, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.