GCD of 730, 676, 412, 349 Calculator

Given Input numbers are 730, 676, 412, 349

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (730, 676, 412, 349) = 1.

Given numbers are 730, 676, 412, 349

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

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

Prime factors of 412 are 2 x 2 x 103

Prime factors of 349 are 349

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

Given numbers are 730, 676, 412, 349

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

Apply this formula for all numbers.

Step1:

LCM(730, 676) = 246740

GCD(730, 676) = ( 730 x 676 ) / 246740

= 730 / 676

= 730

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

So, Greatest Common Divisor of 730, 676, 412, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 105, 152, 246
• GCD of 222, 370, 704, 611
• GCD of 987, 982, 279, 783
• GCD of 281, 112, 562, 123
• GCD of 223, 603, 150, 913

Given numbers are 730, 676, 412, 349
The greatest common divisor of numbers 730, 676, 412, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 676, 412, 349 is 1.

1. What is the GCD of 730, 676, 412, 349?

GCD of given numbers 730, 676, 412, 349 is 1

2. How to calculate the greatest common divisor of 730, 676, 412, 349?

We can find the highest common divisor of 730, 676, 412, 349 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 730, 676, 412, 349 i.e 1.

3. How can I use the GCD of 730, 676, 412, 349Calculator?

Out the numbers 730, 676, 412, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.