GCD of 170, 800, 918, 874 Calculator

Given Input numbers are 170, 800, 918, 874

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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 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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (170, 800, 918, 874) = 2.

Given numbers are 170, 800, 918, 874

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

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

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 170, 800, 918, 874 is 2.

Given numbers are 170, 800, 918, 874

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

Apply this formula for all numbers.

Step1:

LCM(170, 800) = 13600

GCD(170, 800) = ( 170 x 800 ) / 13600

= 170 / 800

= 170

Step2:

LCM(10, 918) = 4590

GCD(10, 918) = ( 10 x 918 ) / 4590

= 10 / 918

= 10

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 170, 800, 918, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 860, 569, 941
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• GCD of 951, 936, 702, 517
• GCD of 955, 432, 568, 517

Given numbers are 170, 800, 918, 874
The greatest common divisor of numbers 170, 800, 918, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 800, 918, 874 is 2.

1. What is the GCD of 170, 800, 918, 874?

GCD of given numbers 170, 800, 918, 874 is 2

2. How to calculate the greatest common divisor of 170, 800, 918, 874?

We can find the highest common divisor of 170, 800, 918, 874 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 170, 800, 918, 874 i.e 2.

3. How can I use the GCD of 170, 800, 918, 874Calculator?

Out the numbers 170, 800, 918, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.