GCD of 684, 309, 152, 861 Calculator

Given Input numbers are 684, 309, 152, 861

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

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 152 :

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

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (684, 309, 152, 861) = 1.

Given numbers are 684, 309, 152, 861

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

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

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 684, 309, 152, 861

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

Apply this formula for all numbers.

Step1:

LCM(684, 309) = 70452

GCD(684, 309) = ( 684 x 309 ) / 70452

= 684 / 309

= 684

Step2:

LCM(3, 152) = 456

GCD(3, 152) = ( 3 x 152 ) / 456

= 3 / 152

= 3

Step3:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1

So, Greatest Common Divisor of 684, 309, 152, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 829, 377, 635
• GCD of 814, 598, 993, 604
• GCD of 489, 558, 908, 686
• GCD of 723, 212, 324, 647
• GCD of 213, 559, 378, 112

Given numbers are 684, 309, 152, 861
The greatest common divisor of numbers 684, 309, 152, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 309, 152, 861 is 1.

1. What is the GCD of 684, 309, 152, 861?

GCD of given numbers 684, 309, 152, 861 is 1

2. How to calculate the greatest common divisor of 684, 309, 152, 861?

We can find the highest common divisor of 684, 309, 152, 861 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 684, 309, 152, 861 i.e 1.

3. How can I use the GCD of 684, 309, 152, 861Calculator?

Out the numbers 684, 309, 152, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.