GCD of 209, 949, 448, 789 Calculator

Given Input numbers are 209, 949, 448, 789

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 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (209, 949, 448, 789) = 1.

Given numbers are 209, 949, 448, 789

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 949 are 13 x 73

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 789 are 3 x 263

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

Given numbers are 209, 949, 448, 789

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

Apply this formula for all numbers.

Step1:

LCM(209, 949) = 198341

GCD(209, 949) = ( 209 x 949 ) / 198341

= 209 / 949

= 209

Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 209, 949, 448, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 608, 413, 292
• GCD of 887, 330, 434, 150
• GCD of 142, 931, 472, 905
• GCD of 974, 550, 598, 911
• GCD of 606, 960, 266, 890

Given numbers are 209, 949, 448, 789
The greatest common divisor of numbers 209, 949, 448, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 949, 448, 789 is 1.

1. What is the GCD of 209, 949, 448, 789?

GCD of given numbers 209, 949, 448, 789 is 1

2. How to calculate the greatest common divisor of 209, 949, 448, 789?

We can find the highest common divisor of 209, 949, 448, 789 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, 949, 448, 789 i.e 1.

3. How can I use the GCD of 209, 949, 448, 789Calculator?

Out the numbers 209, 949, 448, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.