GCD of 682, 498, 559, 712 Calculator

Given Input numbers are 682, 498, 559, 712

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (682, 498, 559, 712) = 1.

Given numbers are 682, 498, 559, 712

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 498 are 2 x 3 x 83

Prime factors of 559 are 13 x 43

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 682, 498, 559, 712

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

Apply this formula for all numbers.

Step1:

LCM(682, 498) = 169818

GCD(682, 498) = ( 682 x 498 ) / 169818

= 682 / 498

= 682

Step2:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 682, 498, 559, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 502, 606, 895
• GCD of 506, 497, 395, 654
• GCD of 214, 719, 920, 298
• GCD of 282, 160, 529, 190
• GCD of 108, 765, 256, 903

Given numbers are 682, 498, 559, 712
The greatest common divisor of numbers 682, 498, 559, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 498, 559, 712 is 1.

1. What is the GCD of 682, 498, 559, 712?

GCD of given numbers 682, 498, 559, 712 is 1

2. How to calculate the greatest common divisor of 682, 498, 559, 712?

We can find the highest common divisor of 682, 498, 559, 712 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, 498, 559, 712 i.e 1.

3. How can I use the GCD of 682, 498, 559, 712Calculator?

Out the numbers 682, 498, 559, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.