GCD of 990, 853, 705, 349 Calculator

Given Input numbers are 990, 853, 705, 349

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 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 (990, 853, 705, 349) = 1.

Given numbers are 990, 853, 705, 349

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 853 are 853

Prime factors of 705 are 3 x 5 x 47

Prime factors of 349 are 349

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

Given numbers are 990, 853, 705, 349

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

Apply this formula for all numbers.

Step1:

LCM(990, 853) = 844470

GCD(990, 853) = ( 990 x 853 ) / 844470

= 990 / 853

= 990

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 990, 853, 705, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 332, 691, 980
• GCD of 583, 396, 147, 341
• GCD of 560, 178, 983, 688
• GCD of 636, 371, 879, 187
• GCD of 763, 435, 602, 870

Given numbers are 990, 853, 705, 349
The greatest common divisor of numbers 990, 853, 705, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 853, 705, 349 is 1.

1. What is the GCD of 990, 853, 705, 349?

GCD of given numbers 990, 853, 705, 349 is 1

2. How to calculate the greatest common divisor of 990, 853, 705, 349?

We can find the highest common divisor of 990, 853, 705, 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 990, 853, 705, 349 i.e 1.

3. How can I use the GCD of 990, 853, 705, 349Calculator?

Out the numbers 990, 853, 705, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.