GCD of 826, 754, 336, 264 Calculator

Given Input numbers are 826, 754, 336, 264

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (826, 754, 336, 264) = 2.

Given numbers are 826, 754, 336, 264

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 754 are 2 x 13 x 29

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 826, 754, 336, 264 is 2.

Given numbers are 826, 754, 336, 264

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

Apply this formula for all numbers.

Step1:

LCM(826, 754) = 311402

GCD(826, 754) = ( 826 x 754 ) / 311402

= 826 / 754

= 826

Step2:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 826, 754, 336, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 986, 384, 179
• GCD of 833, 261, 798, 301
• GCD of 406, 253, 144, 257
• GCD of 677, 458, 503, 252
• GCD of 872, 238, 645, 526

Given numbers are 826, 754, 336, 264
The greatest common divisor of numbers 826, 754, 336, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 754, 336, 264 is 2.

1. What is the GCD of 826, 754, 336, 264?

GCD of given numbers 826, 754, 336, 264 is 2

2. How to calculate the greatest common divisor of 826, 754, 336, 264?

We can find the highest common divisor of 826, 754, 336, 264 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 826, 754, 336, 264 i.e 2.

3. How can I use the GCD of 826, 754, 336, 264Calculator?

Out the numbers 826, 754, 336, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.