GCD of 209, 152, 779, 684 Calculator

Given Input numbers are 209, 152, 779, 684

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (209, 152, 779, 684) = 19.

Given numbers are 209, 152, 779, 684

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 779 are 19 x 41

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 19¹

Therefore, GCD of 209, 152, 779, 684 is 19.

Given numbers are 209, 152, 779, 684

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

Apply this formula for all numbers.

Step1:

LCM(209, 152) = 1672

GCD(209, 152) = ( 209 x 152 ) / 1672

= 209 / 152

= 209

Step2:

LCM(19, 779) = 779

GCD(19, 779) = ( 19 x 779 ) / 779

= 19 / 779

= 19

Step3:

LCM(19, 684) = 684

GCD(19, 684) = ( 19 x 684 ) / 684

= 19 / 684

= 19

So, Greatest Common Divisor of 209, 152, 779, 684 is 19

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 792, 970, 643
• GCD of 676, 199, 362, 316
• GCD of 722, 735, 247, 191
• GCD of 634, 165, 887, 774
• GCD of 602, 948, 538, 555

Given numbers are 209, 152, 779, 684
The greatest common divisor of numbers 209, 152, 779, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 152, 779, 684 is 19.

1. What is the GCD of 209, 152, 779, 684?

GCD of given numbers 209, 152, 779, 684 is 19

2. How to calculate the greatest common divisor of 209, 152, 779, 684?

We can find the highest common divisor of 209, 152, 779, 684 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, 152, 779, 684 i.e 19.

3. How can I use the GCD of 209, 152, 779, 684Calculator?

Out the numbers 209, 152, 779, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.