GCD of 990, 858, 834, 660 Calculator

Given Input numbers are 990, 858, 834, 660

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (990, 858, 834, 660) = 6.

Given numbers are 990, 858, 834, 660

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 858 are 2 x 3 x 11 x 13

Prime factors of 834 are 2 x 3 x 139

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 990, 858, 834, 660 is 6.

Given numbers are 990, 858, 834, 660

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

Apply this formula for all numbers.

Step1:

LCM(990, 858) = 12870

GCD(990, 858) = ( 990 x 858 ) / 12870

= 990 / 858

= 990

Step2:

LCM(66, 834) = 9174

GCD(66, 834) = ( 66 x 834 ) / 9174

= 66 / 834

= 66

Step3:

LCM(6, 660) = 660

GCD(6, 660) = ( 6 x 660 ) / 660

= 6 / 660

= 6

So, Greatest Common Divisor of 990, 858, 834, 660 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 312, 457, 352
• GCD of 172, 747, 310, 904
• GCD of 474, 192, 542, 616
• GCD of 870, 885, 595, 630
• GCD of 859, 125, 415, 829

Given numbers are 990, 858, 834, 660
The greatest common divisor of numbers 990, 858, 834, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 858, 834, 660 is 6.

1. What is the GCD of 990, 858, 834, 660?

GCD of given numbers 990, 858, 834, 660 is 6

2. How to calculate the greatest common divisor of 990, 858, 834, 660?

We can find the highest common divisor of 990, 858, 834, 660 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, 858, 834, 660 i.e 6.

3. How can I use the GCD of 990, 858, 834, 660Calculator?

Out the numbers 990, 858, 834, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.