GCD of 838, 688, 162, 286 Calculator

Given Input numbers are 838, 688, 162, 286

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (838, 688, 162, 286) = 2.

Given numbers are 838, 688, 162, 286

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 286 are 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 838, 688, 162, 286 is 2.

Given numbers are 838, 688, 162, 286

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

Apply this formula for all numbers.

Step1:

LCM(838, 688) = 288272

GCD(838, 688) = ( 838 x 688 ) / 288272

= 838 / 688

= 838

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

So, Greatest Common Divisor of 838, 688, 162, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 132, 900, 149
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• GCD of 708, 184, 648, 216
• GCD of 201, 949, 384, 671
• GCD of 710, 108, 390, 754

Given numbers are 838, 688, 162, 286
The greatest common divisor of numbers 838, 688, 162, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 688, 162, 286 is 2.

1. What is the GCD of 838, 688, 162, 286?

GCD of given numbers 838, 688, 162, 286 is 2

2. How to calculate the greatest common divisor of 838, 688, 162, 286?

We can find the highest common divisor of 838, 688, 162, 286 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 838, 688, 162, 286 i.e 2.

3. How can I use the GCD of 838, 688, 162, 286Calculator?

Out the numbers 838, 688, 162, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.