GCD of 684, 302, 802, 116 Calculator

Given Input numbers are 684, 302, 802, 116

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 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (684, 302, 802, 116) = 2.

Given numbers are 684, 302, 802, 116

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 302 are 2 x 151

Prime factors of 802 are 2 x 401

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 684, 302, 802, 116 is 2.

Given numbers are 684, 302, 802, 116

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

Apply this formula for all numbers.

Step1:

LCM(684, 302) = 103284

GCD(684, 302) = ( 684 x 302 ) / 103284

= 684 / 302

= 684

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 684, 302, 802, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 550, 477, 123
• GCD of 501, 679, 479, 917
• GCD of 487, 290, 683, 355
• GCD of 125, 868, 289, 620
• GCD of 498, 315, 323, 839

Given numbers are 684, 302, 802, 116
The greatest common divisor of numbers 684, 302, 802, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 302, 802, 116 is 2.

1. What is the GCD of 684, 302, 802, 116?

GCD of given numbers 684, 302, 802, 116 is 2

2. How to calculate the greatest common divisor of 684, 302, 802, 116?

We can find the highest common divisor of 684, 302, 802, 116 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, 302, 802, 116 i.e 2.

3. How can I use the GCD of 684, 302, 802, 116Calculator?

Out the numbers 684, 302, 802, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.