GCD of 684, 470, 137, 517 Calculator

Given Input numbers are 684, 470, 137, 517

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

GCD of numbers is the greatest common divisor

So, the GCD (684, 470, 137, 517) = 1.

Given numbers are 684, 470, 137, 517

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 470 are 2 x 5 x 47

Prime factors of 137 are 137

Prime factors of 517 are 11 x 47

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

Given numbers are 684, 470, 137, 517

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

Apply this formula for all numbers.

Step1:

LCM(684, 470) = 160740

GCD(684, 470) = ( 684 x 470 ) / 160740

= 684 / 470

= 684

Step2:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2

Step3:

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

= 1 / 517

= 1

So, Greatest Common Divisor of 684, 470, 137, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 776, 274, 731
• GCD of 966, 299, 414, 366
• GCD of 862, 209, 146, 156
• GCD of 692, 336, 259, 337
• GCD of 506, 785, 812, 488

Given numbers are 684, 470, 137, 517
The greatest common divisor of numbers 684, 470, 137, 517 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 470, 137, 517 is 1.

1. What is the GCD of 684, 470, 137, 517?

GCD of given numbers 684, 470, 137, 517 is 1

2. How to calculate the greatest common divisor of 684, 470, 137, 517?

We can find the highest common divisor of 684, 470, 137, 517 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, 470, 137, 517 i.e 1.

3. How can I use the GCD of 684, 470, 137, 517Calculator?

Out the numbers 684, 470, 137, 517 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.