GCD of 518, 689, 735, 342 Calculator

Given Input numbers are 518, 689, 735, 342

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

GCD of numbers is the greatest common divisor

So, the GCD (518, 689, 735, 342) = 1.

Given numbers are 518, 689, 735, 342

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 689 are 13 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

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

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

Given numbers are 518, 689, 735, 342

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

Apply this formula for all numbers.

Step1:

LCM(518, 689) = 356902

GCD(518, 689) = ( 518 x 689 ) / 356902

= 518 / 689

= 518

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 518, 689, 735, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 347, 369, 538
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• GCD of 905, 632, 685, 598
• GCD of 194, 498, 303, 331
• GCD of 643, 209, 632, 435

Given numbers are 518, 689, 735, 342
The greatest common divisor of numbers 518, 689, 735, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 689, 735, 342 is 1.

1. What is the GCD of 518, 689, 735, 342?

GCD of given numbers 518, 689, 735, 342 is 1

2. How to calculate the greatest common divisor of 518, 689, 735, 342?

We can find the highest common divisor of 518, 689, 735, 342 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 518, 689, 735, 342 i.e 1.

3. How can I use the GCD of 518, 689, 735, 342Calculator?

Out the numbers 518, 689, 735, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.