GCD of 824, 354, 538, 866 Calculator

Given Input numbers are 824, 354, 538, 866

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866

GCD of numbers is the greatest common divisor

So, the GCD (824, 354, 538, 866) = 2.

Given numbers are 824, 354, 538, 866

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 538 are 2 x 269

Prime factors of 866 are 2 x 433

The highest common occurrence is 2¹

Therefore, GCD of 824, 354, 538, 866 is 2.

Given numbers are 824, 354, 538, 866

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

Apply this formula for all numbers.

Step1:

LCM(824, 354) = 145848

GCD(824, 354) = ( 824 x 354 ) / 145848

= 824 / 354

= 824

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

= 2 / 866

= 2

So, Greatest Common Divisor of 824, 354, 538, 866 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 712, 667, 763
• GCD of 808, 248, 121, 157
• GCD of 350, 252, 710, 890
• GCD of 303, 239, 975, 885
• GCD of 119, 462, 637, 572

Given numbers are 824, 354, 538, 866
The greatest common divisor of numbers 824, 354, 538, 866 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 354, 538, 866 is 2.

1. What is the GCD of 824, 354, 538, 866?

GCD of given numbers 824, 354, 538, 866 is 2

2. How to calculate the greatest common divisor of 824, 354, 538, 866?

We can find the highest common divisor of 824, 354, 538, 866 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, 354, 538, 866 i.e 2.

3. How can I use the GCD of 824, 354, 538, 866Calculator?

Out the numbers 824, 354, 538, 866 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.