GCD of 890, 800, 74, 918 Calculator

Given Input numbers are 890, 800, 74, 918

In the factoring method, we have to find the divisors of all numbers

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 74 :

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

1, 2, 37, 74

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (890, 800, 74, 918) = 2.

Given numbers are 890, 800, 74, 918

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 74 are 2 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 890, 800, 74, 918 is 2.

Given numbers are 890, 800, 74, 918

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

Apply this formula for all numbers.

Step1:

LCM(890, 800) = 71200

GCD(890, 800) = ( 890 x 800 ) / 71200

= 890 / 800

= 890

Step2:

LCM(10, 74) = 370

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

= 10 / 74

= 10

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 890, 800, 74, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 330, 72, 255
• GCD of 365, 738, 42, 756
• GCD of 364, 350, 87, 723
• GCD of 485, 758, 10, 938
• GCD of 667, 969, 86, 726

Given numbers are 890, 800, 74, 918
The greatest common divisor of numbers 890, 800, 74, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 800, 74, 918 is 2.

1. What is the GCD of 890, 800, 74, 918?

GCD of given numbers 890, 800, 74, 918 is 2

2. How to calculate the greatest common divisor of 890, 800, 74, 918?

We can find the highest common divisor of 890, 800, 74, 918 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 890, 800, 74, 918 i.e 2.

3. How can I use the GCD of 890, 800, 74, 918Calculator?

Out the numbers 890, 800, 74, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.