GCD of 824, 656, 310, 842 Calculator

Given Input numbers are 824, 656, 310, 842

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

Divisors of 824 :

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

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (824, 656, 310, 842) = 2.

Given numbers are 824, 656, 310, 842

The list of prime factors of all numbers are

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 310 are 2 x 5 x 31

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 824, 656, 310, 842 is 2.

Given numbers are 824, 656, 310, 842

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

Apply this formula for all numbers.

Step1:

LCM(824, 656) = 67568

GCD(824, 656) = ( 824 x 656 ) / 67568

= 824 / 656

= 824

Step2:

LCM(8, 310) = 1240

GCD(8, 310) = ( 8 x 310 ) / 1240

= 8 / 310

= 8

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 824, 656, 310, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 264, 490, 109
• GCD of 277, 957, 379, 633
• GCD of 101, 410, 420, 265
• GCD of 399, 503, 172, 574
• GCD of 572, 844, 452, 152

Given numbers are 824, 656, 310, 842
The greatest common divisor of numbers 824, 656, 310, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 656, 310, 842 is 2.

1. What is the GCD of 824, 656, 310, 842?

GCD of given numbers 824, 656, 310, 842 is 2

2. How to calculate the greatest common divisor of 824, 656, 310, 842?

We can find the highest common divisor of 824, 656, 310, 842 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 824, 656, 310, 842 i.e 2.

3. How can I use the GCD of 824, 656, 310, 842Calculator?

Out the numbers 824, 656, 310, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.