GCD of 990, 760, 802, 408 Calculator

Given Input numbers are 990, 760, 802, 408

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (990, 760, 802, 408) = 2.

Given numbers are 990, 760, 802, 408

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 802 are 2 x 401

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 990, 760, 802, 408 is 2.

Given numbers are 990, 760, 802, 408

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

Apply this formula for all numbers.

Step1:

LCM(990, 760) = 75240

GCD(990, 760) = ( 990 x 760 ) / 75240

= 990 / 760

= 990

Step2:

LCM(10, 802) = 4010

GCD(10, 802) = ( 10 x 802 ) / 4010

= 10 / 802

= 10

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 990, 760, 802, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 221, 768, 420
• GCD of 915, 917, 561, 327
• GCD of 840, 674, 825, 325
• GCD of 744, 366, 650, 535
• GCD of 701, 507, 421, 347

Given numbers are 990, 760, 802, 408
The greatest common divisor of numbers 990, 760, 802, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 760, 802, 408 is 2.

1. What is the GCD of 990, 760, 802, 408?

GCD of given numbers 990, 760, 802, 408 is 2

2. How to calculate the greatest common divisor of 990, 760, 802, 408?

We can find the highest common divisor of 990, 760, 802, 408 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, 760, 802, 408 i.e 2.

3. How can I use the GCD of 990, 760, 802, 408Calculator?

Out the numbers 990, 760, 802, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.