GCD of 738, 360, 791, 353 Calculator

Given Input numbers are 738, 360, 791, 353

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 353 :

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

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (738, 360, 791, 353) = 1.

Given numbers are 738, 360, 791, 353

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 791 are 7 x 113

Prime factors of 353 are 353

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

Given numbers are 738, 360, 791, 353

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

Apply this formula for all numbers.

Step1:

LCM(738, 360) = 14760

GCD(738, 360) = ( 738 x 360 ) / 14760

= 738 / 360

= 738

Step2:

LCM(18, 791) = 14238

GCD(18, 791) = ( 18 x 791 ) / 14238

= 18 / 791

= 18

Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1

So, Greatest Common Divisor of 738, 360, 791, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 876, 741, 444
• GCD of 573, 730, 588, 813
• GCD of 473, 668, 367, 917
• GCD of 969, 720, 234, 871
• GCD of 385, 621, 331, 622

Given numbers are 738, 360, 791, 353
The greatest common divisor of numbers 738, 360, 791, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 360, 791, 353 is 1.

1. What is the GCD of 738, 360, 791, 353?

GCD of given numbers 738, 360, 791, 353 is 1

2. How to calculate the greatest common divisor of 738, 360, 791, 353?

We can find the highest common divisor of 738, 360, 791, 353 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 738, 360, 791, 353 i.e 1.

3. How can I use the GCD of 738, 360, 791, 353Calculator?

Out the numbers 738, 360, 791, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.