GCD of 209, 242, 200, 178 Calculator

Given Input numbers are 209, 242, 200, 178

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (209, 242, 200, 178) = 1.

Given numbers are 209, 242, 200, 178

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 178 are 2 x 89

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

Given numbers are 209, 242, 200, 178

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

Apply this formula for all numbers.

Step1:

LCM(209, 242) = 4598

GCD(209, 242) = ( 209 x 242 ) / 4598

= 209 / 242

= 209

Step2:

LCM(11, 200) = 2200

GCD(11, 200) = ( 11 x 200 ) / 2200

= 11 / 200

= 11

Step3:

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

= 1 / 178

= 1

So, Greatest Common Divisor of 209, 242, 200, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 349, 631, 936
• GCD of 316, 658, 733, 795
• GCD of 449, 734, 548, 149
• GCD of 330, 404, 855, 244
• GCD of 816, 506, 490, 674

Given numbers are 209, 242, 200, 178
The greatest common divisor of numbers 209, 242, 200, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 242, 200, 178 is 1.

1. What is the GCD of 209, 242, 200, 178?

GCD of given numbers 209, 242, 200, 178 is 1

2. How to calculate the greatest common divisor of 209, 242, 200, 178?

We can find the highest common divisor of 209, 242, 200, 178 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 209, 242, 200, 178 i.e 1.

3. How can I use the GCD of 209, 242, 200, 178Calculator?

Out the numbers 209, 242, 200, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.