GCD of 506, 694, 353, 698 Calculator

Given Input numbers are 506, 694, 353, 698

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (506, 694, 353, 698) = 1.

Given numbers are 506, 694, 353, 698

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 694 are 2 x 347

Prime factors of 353 are 353

Prime factors of 698 are 2 x 349

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

Given numbers are 506, 694, 353, 698

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

Apply this formula for all numbers.

Step1:

LCM(506, 694) = 175582

GCD(506, 694) = ( 506 x 694 ) / 175582

= 506 / 694

= 506

Step2:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 506, 694, 353, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 338, 174, 745
• GCD of 647, 963, 202, 707
• GCD of 680, 286, 573, 938
• GCD of 614, 531, 146, 860
• GCD of 979, 292, 755, 977

Given numbers are 506, 694, 353, 698
The greatest common divisor of numbers 506, 694, 353, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 694, 353, 698 is 1.

1. What is the GCD of 506, 694, 353, 698?

GCD of given numbers 506, 694, 353, 698 is 1

2. How to calculate the greatest common divisor of 506, 694, 353, 698?

We can find the highest common divisor of 506, 694, 353, 698 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 506, 694, 353, 698 i.e 1.

3. How can I use the GCD of 506, 694, 353, 698Calculator?

Out the numbers 506, 694, 353, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.