GCD of 838, 918, 270, 868 Calculator

Given Input numbers are 838, 918, 270, 868

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (838, 918, 270, 868) = 2.

Given numbers are 838, 918, 270, 868

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 868 are 2 x 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 838, 918, 270, 868 is 2.

Given numbers are 838, 918, 270, 868

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

Apply this formula for all numbers.

Step1:

LCM(838, 918) = 384642

GCD(838, 918) = ( 838 x 918 ) / 384642

= 838 / 918

= 838

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

= 2 / 868

= 2

So, Greatest Common Divisor of 838, 918, 270, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 860, 104, 449
• GCD of 499, 480, 771, 635
• GCD of 156, 475, 831, 233
• GCD of 352, 277, 344, 754
• GCD of 477, 975, 200, 876

Given numbers are 838, 918, 270, 868
The greatest common divisor of numbers 838, 918, 270, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 918, 270, 868 is 2.

1. What is the GCD of 838, 918, 270, 868?

GCD of given numbers 838, 918, 270, 868 is 2

2. How to calculate the greatest common divisor of 838, 918, 270, 868?

We can find the highest common divisor of 838, 918, 270, 868 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, 918, 270, 868 i.e 2.

3. How can I use the GCD of 838, 918, 270, 868Calculator?

Out the numbers 838, 918, 270, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.