GCD of 676, 830, 564, 824 Calculator

Given Input numbers are 676, 830, 564, 824

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

Divisors of 676 :

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

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (676, 830, 564, 824) = 2.

Given numbers are 676, 830, 564, 824

The list of prime factors of all numbers are

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

Prime factors of 830 are 2 x 5 x 83

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 676, 830, 564, 824 is 2.

Given numbers are 676, 830, 564, 824

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

Apply this formula for all numbers.

Step1:

LCM(676, 830) = 280540

GCD(676, 830) = ( 676 x 830 ) / 280540

= 676 / 830

= 676

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 676, 830, 564, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 236, 843, 973
• GCD of 936, 742, 313, 365
• GCD of 393, 151, 835, 595
• GCD of 159, 916, 773, 599
• GCD of 481, 838, 219, 882

Given numbers are 676, 830, 564, 824
The greatest common divisor of numbers 676, 830, 564, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 830, 564, 824 is 2.

1. What is the GCD of 676, 830, 564, 824?

GCD of given numbers 676, 830, 564, 824 is 2

2. How to calculate the greatest common divisor of 676, 830, 564, 824?

We can find the highest common divisor of 676, 830, 564, 824 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 676, 830, 564, 824 i.e 2.

3. How can I use the GCD of 676, 830, 564, 824Calculator?

Out the numbers 676, 830, 564, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.