GCD of 722, 498, 923, 682 Calculator

Given Input numbers are 722, 498, 923, 682

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (722, 498, 923, 682) = 1.

Given numbers are 722, 498, 923, 682

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 923 are 13 x 71

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 722, 498, 923, 682

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

Apply this formula for all numbers.

Step1:

LCM(722, 498) = 179778

GCD(722, 498) = ( 722 x 498 ) / 179778

= 722 / 498

= 722

Step2:

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

= 2 / 923

= 2

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 722, 498, 923, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 617, 283, 224
• GCD of 812, 239, 184, 212
• GCD of 891, 775, 516, 241
• GCD of 213, 748, 215, 903
• GCD of 751, 783, 125, 880

Given numbers are 722, 498, 923, 682
The greatest common divisor of numbers 722, 498, 923, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 498, 923, 682 is 1.

1. What is the GCD of 722, 498, 923, 682?

GCD of given numbers 722, 498, 923, 682 is 1

2. How to calculate the greatest common divisor of 722, 498, 923, 682?

We can find the highest common divisor of 722, 498, 923, 682 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, 498, 923, 682 i.e 1.

3. How can I use the GCD of 722, 498, 923, 682Calculator?

Out the numbers 722, 498, 923, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.