GCD of 722, 362, 229, 828 Calculator

Given Input numbers are 722, 362, 229, 828

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

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

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

GCD of numbers is the greatest common divisor

So, the GCD (722, 362, 229, 828) = 1.

Given numbers are 722, 362, 229, 828

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 362 are 2 x 181

Prime factors of 229 are 229

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 722, 362, 229, 828

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

Apply this formula for all numbers.

Step1:

LCM(722, 362) = 130682

GCD(722, 362) = ( 722 x 362 ) / 130682

= 722 / 362

= 722

Step2:

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

= 2 / 229

= 2

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 722, 362, 229, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 755, 243, 197
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• GCD of 833, 166, 505, 158
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• GCD of 635, 667, 390, 492

Given numbers are 722, 362, 229, 828
The greatest common divisor of numbers 722, 362, 229, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 362, 229, 828 is 1.

1. What is the GCD of 722, 362, 229, 828?

GCD of given numbers 722, 362, 229, 828 is 1

2. How to calculate the greatest common divisor of 722, 362, 229, 828?

We can find the highest common divisor of 722, 362, 229, 828 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 722, 362, 229, 828 i.e 1.

3. How can I use the GCD of 722, 362, 229, 828Calculator?

Out the numbers 722, 362, 229, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.