GCD of 114, 362, 24, 836 Calculator

Given Input numbers are 114, 362, 24, 836

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

GCD of numbers is the greatest common divisor

So, the GCD (114, 362, 24, 836) = 2.

Given numbers are 114, 362, 24, 836

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 362 are 2 x 181

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 114, 362, 24, 836 is 2.

Given numbers are 114, 362, 24, 836

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

Apply this formula for all numbers.

Step1:

LCM(114, 362) = 20634

GCD(114, 362) = ( 114 x 362 ) / 20634

= 114 / 362

= 114

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2

So, Greatest Common Divisor of 114, 362, 24, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 714, 31, 127
• GCD of 708, 166, 29, 800
• GCD of 603, 221, 73, 379
• GCD of 545, 298, 36, 746
• GCD of 479, 424, 61, 823

Given numbers are 114, 362, 24, 836
The greatest common divisor of numbers 114, 362, 24, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 362, 24, 836 is 2.

1. What is the GCD of 114, 362, 24, 836?

GCD of given numbers 114, 362, 24, 836 is 2

2. How to calculate the greatest common divisor of 114, 362, 24, 836?

We can find the highest common divisor of 114, 362, 24, 836 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 114, 362, 24, 836 i.e 2.

3. How can I use the GCD of 114, 362, 24, 836Calculator?

Out the numbers 114, 362, 24, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.