GCD of 236, 838, 374, 814 Calculator

Given Input numbers are 236, 838, 374, 814

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

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (236, 838, 374, 814) = 2.

Given numbers are 236, 838, 374, 814

The list of prime factors of all numbers are

Prime factors of 236 are 2 x 2 x 59

Prime factors of 838 are 2 x 419

Prime factors of 374 are 2 x 11 x 17

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 236, 838, 374, 814 is 2.

Given numbers are 236, 838, 374, 814

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

Apply this formula for all numbers.

Step1:

LCM(236, 838) = 98884

GCD(236, 838) = ( 236 x 838 ) / 98884

= 236 / 838

= 236

Step2:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 236, 838, 374, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 331, 173, 679
• GCD of 313, 168, 836, 709
• GCD of 651, 168, 571, 402
• GCD of 755, 638, 630, 539
• GCD of 721, 762, 694, 399

Given numbers are 236, 838, 374, 814
The greatest common divisor of numbers 236, 838, 374, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 838, 374, 814 is 2.

1. What is the GCD of 236, 838, 374, 814?

GCD of given numbers 236, 838, 374, 814 is 2

2. How to calculate the greatest common divisor of 236, 838, 374, 814?

We can find the highest common divisor of 236, 838, 374, 814 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 236, 838, 374, 814 i.e 2.

3. How can I use the GCD of 236, 838, 374, 814Calculator?

Out the numbers 236, 838, 374, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.