GCD of 826, 688, 576, 238 Calculator

Given Input numbers are 826, 688, 576, 238

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (826, 688, 576, 238) = 2.

Given numbers are 826, 688, 576, 238

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 826, 688, 576, 238 is 2.

Given numbers are 826, 688, 576, 238

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

Apply this formula for all numbers.

Step1:

LCM(826, 688) = 284144

GCD(826, 688) = ( 826 x 688 ) / 284144

= 826 / 688

= 826

Step2:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 826, 688, 576, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 736, 281, 290
• GCD of 572, 504, 338, 528
• GCD of 603, 773, 549, 821
• GCD of 721, 544, 288, 187
• GCD of 960, 287, 468, 883

Given numbers are 826, 688, 576, 238
The greatest common divisor of numbers 826, 688, 576, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 688, 576, 238 is 2.

1. What is the GCD of 826, 688, 576, 238?

GCD of given numbers 826, 688, 576, 238 is 2

2. How to calculate the greatest common divisor of 826, 688, 576, 238?

We can find the highest common divisor of 826, 688, 576, 238 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, 688, 576, 238 i.e 2.

3. How can I use the GCD of 826, 688, 576, 238Calculator?

Out the numbers 826, 688, 576, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.