GCD of 200, 660, 914, 309 Calculator

Given Input numbers are 200, 660, 914, 309

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (200, 660, 914, 309) = 1.

Given numbers are 200, 660, 914, 309

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 914 are 2 x 457

Prime factors of 309 are 3 x 103

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

Given numbers are 200, 660, 914, 309

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

Apply this formula for all numbers.

Step1:

LCM(200, 660) = 6600

GCD(200, 660) = ( 200 x 660 ) / 6600

= 200 / 660

= 200

Step2:

LCM(20, 914) = 9140

GCD(20, 914) = ( 20 x 914 ) / 9140

= 20 / 914

= 20

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 200, 660, 914, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 872, 530, 974
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Given numbers are 200, 660, 914, 309
The greatest common divisor of numbers 200, 660, 914, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 660, 914, 309 is 1.

1. What is the GCD of 200, 660, 914, 309?

GCD of given numbers 200, 660, 914, 309 is 1

2. How to calculate the greatest common divisor of 200, 660, 914, 309?

We can find the highest common divisor of 200, 660, 914, 309 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 200, 660, 914, 309 i.e 1.

3. How can I use the GCD of 200, 660, 914, 309Calculator?

Out the numbers 200, 660, 914, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.