GCD of 990, 620, 74, 678 Calculator

Given Input numbers are 990, 620, 74, 678

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 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (990, 620, 74, 678) = 2.

Given numbers are 990, 620, 74, 678

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 620 are 2 x 2 x 5 x 31

Prime factors of 74 are 2 x 37

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 990, 620, 74, 678 is 2.

Given numbers are 990, 620, 74, 678

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

Apply this formula for all numbers.

Step1:

LCM(990, 620) = 61380

GCD(990, 620) = ( 990 x 620 ) / 61380

= 990 / 620

= 990

Step2:

LCM(10, 74) = 370

GCD(10, 74) = ( 10 x 74 ) / 370

= 10 / 74

= 10

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 990, 620, 74, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 295, 82, 211
• GCD of 592, 737, 60, 949
• GCD of 918, 552, 87, 668
• GCD of 979, 131, 79, 479
• GCD of 235, 734, 12, 346

Given numbers are 990, 620, 74, 678
The greatest common divisor of numbers 990, 620, 74, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 620, 74, 678 is 2.

1. What is the GCD of 990, 620, 74, 678?

GCD of given numbers 990, 620, 74, 678 is 2

2. How to calculate the greatest common divisor of 990, 620, 74, 678?

We can find the highest common divisor of 990, 620, 74, 678 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, 620, 74, 678 i.e 2.

3. How can I use the GCD of 990, 620, 74, 678Calculator?

Out the numbers 990, 620, 74, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.