GCD of 708, 321, 722, 343 Calculator

Given Input numbers are 708, 321, 722, 343

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (708, 321, 722, 343) = 1.

Given numbers are 708, 321, 722, 343

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 321 are 3 x 107

Prime factors of 722 are 2 x 19 x 19

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 708, 321, 722, 343

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

Apply this formula for all numbers.

Step1:

LCM(708, 321) = 75756

GCD(708, 321) = ( 708 x 321 ) / 75756

= 708 / 321

= 708

Step2:

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

= 3 / 722

= 3

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 708, 321, 722, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 890, 823, 952
• GCD of 687, 546, 535, 593
• GCD of 744, 136, 590, 774
• GCD of 326, 538, 182, 361
• GCD of 486, 114, 890, 355

Given numbers are 708, 321, 722, 343
The greatest common divisor of numbers 708, 321, 722, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 321, 722, 343 is 1.

1. What is the GCD of 708, 321, 722, 343?

GCD of given numbers 708, 321, 722, 343 is 1

2. How to calculate the greatest common divisor of 708, 321, 722, 343?

We can find the highest common divisor of 708, 321, 722, 343 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 708, 321, 722, 343 i.e 1.

3. How can I use the GCD of 708, 321, 722, 343Calculator?

Out the numbers 708, 321, 722, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.