GCD of 990, 688, 416, 122 Calculator

Given Input numbers are 990, 688, 416, 122

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (990, 688, 416, 122) = 2.

Given numbers are 990, 688, 416, 122

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 990, 688, 416, 122 is 2.

Given numbers are 990, 688, 416, 122

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

Apply this formula for all numbers.

Step1:

LCM(990, 688) = 340560

GCD(990, 688) = ( 990 x 688 ) / 340560

= 990 / 688

= 990

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 990, 688, 416, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 599, 185, 957
• GCD of 762, 144, 239, 899
• GCD of 803, 835, 862, 922
• GCD of 121, 301, 110, 343
• GCD of 191, 632, 873, 906

Given numbers are 990, 688, 416, 122
The greatest common divisor of numbers 990, 688, 416, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 688, 416, 122 is 2.

1. What is the GCD of 990, 688, 416, 122?

GCD of given numbers 990, 688, 416, 122 is 2

2. How to calculate the greatest common divisor of 990, 688, 416, 122?

We can find the highest common divisor of 990, 688, 416, 122 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, 688, 416, 122 i.e 2.

3. How can I use the GCD of 990, 688, 416, 122Calculator?

Out the numbers 990, 688, 416, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.