GCD of 200, 160, 730, 918 Calculator

Given Input numbers are 200, 160, 730, 918

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 (200, 160, 730, 918) = 2.

Given numbers are 200, 160, 730, 918

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 730 are 2 x 5 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 200, 160, 730, 918 is 2.

Given numbers are 200, 160, 730, 918

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

Apply this formula for all numbers.

Step1:

LCM(200, 160) = 800

GCD(200, 160) = ( 200 x 160 ) / 800

= 200 / 160

= 200

Step2:

LCM(40, 730) = 2920

GCD(40, 730) = ( 40 x 730 ) / 2920

= 40 / 730

= 40

Step3:

LCM(10, 918) = 4590

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

= 10 / 918

= 10

So, Greatest Common Divisor of 200, 160, 730, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 497, 326, 951
• GCD of 653, 337, 157, 517
• GCD of 168, 951, 630, 213
• GCD of 213, 112, 650, 237
• GCD of 151, 915, 332, 995

Given numbers are 200, 160, 730, 918
The greatest common divisor of numbers 200, 160, 730, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 160, 730, 918 is 2.

1. What is the GCD of 200, 160, 730, 918?

GCD of given numbers 200, 160, 730, 918 is 2

2. How to calculate the greatest common divisor of 200, 160, 730, 918?

We can find the highest common divisor of 200, 160, 730, 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 200, 160, 730, 918 i.e 2.

3. How can I use the GCD of 200, 160, 730, 918Calculator?

Out the numbers 200, 160, 730, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.