GCD of 682, 470, 756, 497 Calculator

Given Input numbers are 682, 470, 756, 497

In the factoring method, we have to find the divisors of all numbers

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 470 :

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 (682, 470, 756, 497) = 1.

Given numbers are 682, 470, 756, 497

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 470 are 2 x 5 x 47

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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 682, 470, 756, 497

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

Apply this formula for all numbers.

Step1:

LCM(682, 470) = 160270

GCD(682, 470) = ( 682 x 470 ) / 160270

= 682 / 470

= 682

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

= 2 / 497

= 2

So, Greatest Common Divisor of 682, 470, 756, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 512, 452, 463
• GCD of 133, 140, 339, 502
• GCD of 377, 815, 409, 827
• GCD of 946, 294, 119, 308
• GCD of 499, 478, 542, 486

Given numbers are 682, 470, 756, 497
The greatest common divisor of numbers 682, 470, 756, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 470, 756, 497 is 1.

1. What is the GCD of 682, 470, 756, 497?

GCD of given numbers 682, 470, 756, 497 is 1

2. How to calculate the greatest common divisor of 682, 470, 756, 497?

We can find the highest common divisor of 682, 470, 756, 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 682, 470, 756, 497 i.e 1.

3. How can I use the GCD of 682, 470, 756, 497Calculator?

Out the numbers 682, 470, 756, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.