GCD of 684, 344, 77, 103 Calculator

Given Input numbers are 684, 344, 77, 103

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

GCD of numbers is the greatest common divisor

So, the GCD (684, 344, 77, 103) = 1.

Given numbers are 684, 344, 77, 103

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 344 are 2 x 2 x 2 x 43

Prime factors of 77 are 7 x 11

Prime factors of 103 are 103

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

Given numbers are 684, 344, 77, 103

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

Apply this formula for all numbers.

Step1:

LCM(684, 344) = 58824

GCD(684, 344) = ( 684 x 344 ) / 58824

= 684 / 344

= 684

Step2:

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

= 4 / 77

= 4

Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1

So, Greatest Common Divisor of 684, 344, 77, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 674, 75, 268
• GCD of 775, 895, 26, 217
• GCD of 452, 596, 94, 332
• GCD of 367, 195, 65, 272
• GCD of 378, 252, 67, 361

Given numbers are 684, 344, 77, 103
The greatest common divisor of numbers 684, 344, 77, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 344, 77, 103 is 1.

1. What is the GCD of 684, 344, 77, 103?

GCD of given numbers 684, 344, 77, 103 is 1

2. How to calculate the greatest common divisor of 684, 344, 77, 103?

We can find the highest common divisor of 684, 344, 77, 103 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, 344, 77, 103 i.e 1.

3. How can I use the GCD of 684, 344, 77, 103Calculator?

Out the numbers 684, 344, 77, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.