GCD of 676, 494, 351, 229 Calculator

Given Input numbers are 676, 494, 351, 229

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

GCD of numbers is the greatest common divisor

So, the GCD (676, 494, 351, 229) = 1.

Given numbers are 676, 494, 351, 229

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 494 are 2 x 13 x 19

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 229 are 229

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

Given numbers are 676, 494, 351, 229

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

Apply this formula for all numbers.

Step1:

LCM(676, 494) = 12844

GCD(676, 494) = ( 676 x 494 ) / 12844

= 676 / 494

= 676

Step2:

LCM(26, 351) = 702

GCD(26, 351) = ( 26 x 351 ) / 702

= 26 / 351

= 26

Step3:

LCM(13, 229) = 2977

GCD(13, 229) = ( 13 x 229 ) / 2977

= 13 / 229

= 13

So, Greatest Common Divisor of 676, 494, 351, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 865, 380, 630
• GCD of 291, 185, 776, 609
• GCD of 598, 191, 135, 462
• GCD of 729, 857, 129, 561
• GCD of 856, 135, 734, 738

Given numbers are 676, 494, 351, 229
The greatest common divisor of numbers 676, 494, 351, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 494, 351, 229 is 1.

1. What is the GCD of 676, 494, 351, 229?

GCD of given numbers 676, 494, 351, 229 is 1

2. How to calculate the greatest common divisor of 676, 494, 351, 229?

We can find the highest common divisor of 676, 494, 351, 229 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 676, 494, 351, 229 i.e 1.

3. How can I use the GCD of 676, 494, 351, 229Calculator?

Out the numbers 676, 494, 351, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.