GCD of 209, 538, 968, 308 Calculator

Given Input numbers are 209, 538, 968, 308

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (209, 538, 968, 308) = 1.

Given numbers are 209, 538, 968, 308

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 538 are 2 x 269

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 209, 538, 968, 308

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

Apply this formula for all numbers.

Step1:

LCM(209, 538) = 112442

GCD(209, 538) = ( 209 x 538 ) / 112442

= 209 / 538

= 209

Step2:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 209, 538, 968, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 194, 854, 314
• GCD of 604, 189, 674, 830
• GCD of 825, 957, 976, 402
• GCD of 543, 986, 568, 131
• GCD of 244, 136, 470, 896

Given numbers are 209, 538, 968, 308
The greatest common divisor of numbers 209, 538, 968, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 538, 968, 308 is 1.

1. What is the GCD of 209, 538, 968, 308?

GCD of given numbers 209, 538, 968, 308 is 1

2. How to calculate the greatest common divisor of 209, 538, 968, 308?

We can find the highest common divisor of 209, 538, 968, 308 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, 538, 968, 308 i.e 1.

3. How can I use the GCD of 209, 538, 968, 308Calculator?

Out the numbers 209, 538, 968, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.