GCD of 684, 252, 342, 497 Calculator

Given Input numbers are 684, 252, 342, 497

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (684, 252, 342, 497) = 1.

Given numbers are 684, 252, 342, 497

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 497 are 7 x 71

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

Given numbers are 684, 252, 342, 497

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

Apply this formula for all numbers.

Step1:

LCM(684, 252) = 4788

GCD(684, 252) = ( 684 x 252 ) / 4788

= 684 / 252

= 684

Step2:

LCM(36, 342) = 684

GCD(36, 342) = ( 36 x 342 ) / 684

= 36 / 342

= 36

Step3:

LCM(18, 497) = 8946

GCD(18, 497) = ( 18 x 497 ) / 8946

= 18 / 497

= 18

So, Greatest Common Divisor of 684, 252, 342, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 566, 859, 266
• GCD of 923, 135, 581, 868
• GCD of 181, 772, 120, 828
• GCD of 616, 925, 332, 134
• GCD of 182, 452, 781, 107

Given numbers are 684, 252, 342, 497
The greatest common divisor of numbers 684, 252, 342, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 252, 342, 497 is 1.

1. What is the GCD of 684, 252, 342, 497?

GCD of given numbers 684, 252, 342, 497 is 1

2. How to calculate the greatest common divisor of 684, 252, 342, 497?

We can find the highest common divisor of 684, 252, 342, 497 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, 252, 342, 497 i.e 1.

3. How can I use the GCD of 684, 252, 342, 497Calculator?

Out the numbers 684, 252, 342, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.