GCD of 114, 636, 500, 385 Calculator

Given Input numbers are 114, 636, 500, 385

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (114, 636, 500, 385) = 1.

Given numbers are 114, 636, 500, 385

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 385 are 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 114, 636, 500, 385

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

Apply this formula for all numbers.

Step1:

LCM(114, 636) = 12084

GCD(114, 636) = ( 114 x 636 ) / 12084

= 114 / 636

= 114

Step2:

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

= 6 / 500

= 6

Step3:

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

= 2 / 385

= 2

So, Greatest Common Divisor of 114, 636, 500, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 669, 250, 948
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Given numbers are 114, 636, 500, 385
The greatest common divisor of numbers 114, 636, 500, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 636, 500, 385 is 1.

1. What is the GCD of 114, 636, 500, 385?

GCD of given numbers 114, 636, 500, 385 is 1

2. How to calculate the greatest common divisor of 114, 636, 500, 385?

We can find the highest common divisor of 114, 636, 500, 385 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, 636, 500, 385 i.e 1.

3. How can I use the GCD of 114, 636, 500, 385Calculator?

Out the numbers 114, 636, 500, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.