GCD of 990, 365, 349, 293 Calculator

Given Input numbers are 990, 365, 349, 293

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 349 :

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

1, 349

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

GCD of numbers is the greatest common divisor

So, the GCD (990, 365, 349, 293) = 1.

Given numbers are 990, 365, 349, 293

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 365 are 5 x 73

Prime factors of 349 are 349

Prime factors of 293 are 293

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

Given numbers are 990, 365, 349, 293

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

Apply this formula for all numbers.

Step1:

LCM(990, 365) = 72270

GCD(990, 365) = ( 990 x 365 ) / 72270

= 990 / 365

= 990

Step2:

LCM(5, 349) = 1745

GCD(5, 349) = ( 5 x 349 ) / 1745

= 5 / 349

= 5

Step3:

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

= 1 / 293

= 1

So, Greatest Common Divisor of 990, 365, 349, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 395, 519, 692
• GCD of 198, 806, 947, 721
• GCD of 794, 914, 590, 774
• GCD of 730, 478, 641, 158
• GCD of 427, 282, 962, 257

Given numbers are 990, 365, 349, 293
The greatest common divisor of numbers 990, 365, 349, 293 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 365, 349, 293 is 1.

1. What is the GCD of 990, 365, 349, 293?

GCD of given numbers 990, 365, 349, 293 is 1

2. How to calculate the greatest common divisor of 990, 365, 349, 293?

We can find the highest common divisor of 990, 365, 349, 293 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 990, 365, 349, 293 i.e 1.

3. How can I use the GCD of 990, 365, 349, 293Calculator?

Out the numbers 990, 365, 349, 293 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.