GCD of 682, 524, 800, 676 Calculator

Given Input numbers are 682, 524, 800, 676

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (682, 524, 800, 676) = 2.

Given numbers are 682, 524, 800, 676

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 524 are 2 x 2 x 131

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 682, 524, 800, 676 is 2.

Given numbers are 682, 524, 800, 676

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

Apply this formula for all numbers.

Step1:

LCM(682, 524) = 178684

GCD(682, 524) = ( 682 x 524 ) / 178684

= 682 / 524

= 682

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 682, 524, 800, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 986, 991, 316
• GCD of 989, 355, 604, 589
• GCD of 207, 171, 823, 651
• GCD of 736, 705, 784, 835
• GCD of 728, 458, 796, 588

Given numbers are 682, 524, 800, 676
The greatest common divisor of numbers 682, 524, 800, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 524, 800, 676 is 2.

1. What is the GCD of 682, 524, 800, 676?

GCD of given numbers 682, 524, 800, 676 is 2

2. How to calculate the greatest common divisor of 682, 524, 800, 676?

We can find the highest common divisor of 682, 524, 800, 676 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, 524, 800, 676 i.e 2.

3. How can I use the GCD of 682, 524, 800, 676Calculator?

Out the numbers 682, 524, 800, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.