GCD of 236, 814, 342, 380 Calculator

Given Input numbers are 236, 814, 342, 380

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 814 :

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (236, 814, 342, 380) = 2.

Given numbers are 236, 814, 342, 380

The list of prime factors of all numbers are

Prime factors of 236 are 2 x 2 x 59

Prime factors of 814 are 2 x 11 x 37

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 236, 814, 342, 380 is 2.

Given numbers are 236, 814, 342, 380

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

Apply this formula for all numbers.

Step1:

LCM(236, 814) = 96052

GCD(236, 814) = ( 236 x 814 ) / 96052

= 236 / 814

= 236

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 236, 814, 342, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 366, 416, 184
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Given numbers are 236, 814, 342, 380
The greatest common divisor of numbers 236, 814, 342, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 814, 342, 380 is 2.

1. What is the GCD of 236, 814, 342, 380?

GCD of given numbers 236, 814, 342, 380 is 2

2. How to calculate the greatest common divisor of 236, 814, 342, 380?

We can find the highest common divisor of 236, 814, 342, 380 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, 814, 342, 380 i.e 2.

3. How can I use the GCD of 236, 814, 342, 380Calculator?

Out the numbers 236, 814, 342, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.