GCD of 828, 722, 379, 296 Calculator

Given Input numbers are 828, 722, 379, 296

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (828, 722, 379, 296) = 1.

Given numbers are 828, 722, 379, 296

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 722 are 2 x 19 x 19

Prime factors of 379 are 379

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 828, 722, 379, 296

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

Apply this formula for all numbers.

Step1:

LCM(828, 722) = 298908

GCD(828, 722) = ( 828 x 722 ) / 298908

= 828 / 722

= 828

Step2:

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

= 2 / 379

= 2

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 828, 722, 379, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 263, 713, 565
• GCD of 992, 613, 539, 284
• GCD of 562, 329, 715, 780
• GCD of 513, 495, 703, 971
• GCD of 633, 239, 503, 742

Given numbers are 828, 722, 379, 296
The greatest common divisor of numbers 828, 722, 379, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 722, 379, 296 is 1.

1. What is the GCD of 828, 722, 379, 296?

GCD of given numbers 828, 722, 379, 296 is 1

2. How to calculate the greatest common divisor of 828, 722, 379, 296?

We can find the highest common divisor of 828, 722, 379, 296 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, 722, 379, 296 i.e 1.

3. How can I use the GCD of 828, 722, 379, 296Calculator?

Out the numbers 828, 722, 379, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.