GCD of 684, 838, 86, 920 Calculator

Given Input numbers are 684, 838, 86, 920

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (684, 838, 86, 920) = 2.

Given numbers are 684, 838, 86, 920

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 838 are 2 x 419

Prime factors of 86 are 2 x 43

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 684, 838, 86, 920 is 2.

Given numbers are 684, 838, 86, 920

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

Apply this formula for all numbers.

Step1:

LCM(684, 838) = 286596

GCD(684, 838) = ( 684 x 838 ) / 286596

= 684 / 838

= 684

Step2:

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

= 2 / 86

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 684, 838, 86, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 931, 25, 837
• GCD of 125, 485, 14, 155
• GCD of 636, 996, 51, 882
• GCD of 929, 614, 95, 382
• GCD of 243, 611, 39, 311

Given numbers are 684, 838, 86, 920
The greatest common divisor of numbers 684, 838, 86, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 838, 86, 920 is 2.

1. What is the GCD of 684, 838, 86, 920?

GCD of given numbers 684, 838, 86, 920 is 2

2. How to calculate the greatest common divisor of 684, 838, 86, 920?

We can find the highest common divisor of 684, 838, 86, 920 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, 838, 86, 920 i.e 2.

3. How can I use the GCD of 684, 838, 86, 920Calculator?

Out the numbers 684, 838, 86, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.