GCD of 682, 734, 162, 584 Calculator

Given Input numbers are 682, 734, 162, 584

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

Divisors of 682 :

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

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (682, 734, 162, 584) = 2.

Given numbers are 682, 734, 162, 584

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 734 are 2 x 367

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 682, 734, 162, 584 is 2.

Given numbers are 682, 734, 162, 584

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

Apply this formula for all numbers.

Step1:

LCM(682, 734) = 250294

GCD(682, 734) = ( 682 x 734 ) / 250294

= 682 / 734

= 682

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 682, 734, 162, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 931, 987, 820
• GCD of 418, 783, 428, 606
• GCD of 795, 955, 160, 350
• GCD of 635, 825, 114, 428
• GCD of 978, 481, 774, 506

Given numbers are 682, 734, 162, 584
The greatest common divisor of numbers 682, 734, 162, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 734, 162, 584 is 2.

1. What is the GCD of 682, 734, 162, 584?

GCD of given numbers 682, 734, 162, 584 is 2

2. How to calculate the greatest common divisor of 682, 734, 162, 584?

We can find the highest common divisor of 682, 734, 162, 584 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 682, 734, 162, 584 i.e 2.

3. How can I use the GCD of 682, 734, 162, 584Calculator?

Out the numbers 682, 734, 162, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.