GCD of 116, 400, 758, 836 Calculator

Given Input numbers are 116, 400, 758, 836

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 (116, 400, 758, 836) = 2.

Given numbers are 116, 400, 758, 836

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 758 are 2 x 379

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

The highest common occurrence is 2¹

Therefore, GCD of 116, 400, 758, 836 is 2.

Given numbers are 116, 400, 758, 836

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

Apply this formula for all numbers.

Step1:

LCM(116, 400) = 11600

GCD(116, 400) = ( 116 x 400 ) / 11600

= 116 / 400

= 116

Step2:

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

= 4 / 758

= 4

Step3:

LCM(2, 836) = 836

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

= 2 / 836

= 2

So, Greatest Common Divisor of 116, 400, 758, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 209, 104, 114
• GCD of 469, 397, 345, 351
• GCD of 978, 520, 340, 990
• GCD of 173, 355, 286, 198
• GCD of 542, 827, 286, 347

Given numbers are 116, 400, 758, 836
The greatest common divisor of numbers 116, 400, 758, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 400, 758, 836 is 2.

1. What is the GCD of 116, 400, 758, 836?

GCD of given numbers 116, 400, 758, 836 is 2

2. How to calculate the greatest common divisor of 116, 400, 758, 836?

We can find the highest common divisor of 116, 400, 758, 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 116, 400, 758, 836 i.e 2.

3. How can I use the GCD of 116, 400, 758, 836Calculator?

Out the numbers 116, 400, 758, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.