GCD of 990, 899, 343, 765 Calculator

Given Input numbers are 990, 899, 343, 765

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 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (990, 899, 343, 765) = 1.

Given numbers are 990, 899, 343, 765

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 899 are 29 x 31

Prime factors of 343 are 7 x 7 x 7

Prime factors of 765 are 3 x 3 x 5 x 17

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

Given numbers are 990, 899, 343, 765

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

Apply this formula for all numbers.

Step1:

LCM(990, 899) = 890010

GCD(990, 899) = ( 990 x 899 ) / 890010

= 990 / 899

= 990

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

So, Greatest Common Divisor of 990, 899, 343, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 288, 139, 820
• GCD of 388, 558, 368, 725
• GCD of 481, 993, 284, 363
• GCD of 139, 430, 587, 737
• GCD of 666, 374, 671, 386

Given numbers are 990, 899, 343, 765
The greatest common divisor of numbers 990, 899, 343, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 899, 343, 765 is 1.

1. What is the GCD of 990, 899, 343, 765?

GCD of given numbers 990, 899, 343, 765 is 1

2. How to calculate the greatest common divisor of 990, 899, 343, 765?

We can find the highest common divisor of 990, 899, 343, 765 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, 899, 343, 765 i.e 1.

3. How can I use the GCD of 990, 899, 343, 765Calculator?

Out the numbers 990, 899, 343, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.