GCD of 200, 142, 270, 304 Calculator

Given Input numbers are 200, 142, 270, 304

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (200, 142, 270, 304) = 2.

Given numbers are 200, 142, 270, 304

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 142 are 2 x 71

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 200, 142, 270, 304 is 2.

Given numbers are 200, 142, 270, 304

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

Apply this formula for all numbers.

Step1:

LCM(200, 142) = 14200

GCD(200, 142) = ( 200 x 142 ) / 14200

= 200 / 142

= 200

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 200, 142, 270, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 753, 338, 887
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• GCD of 990, 100, 520, 577
• GCD of 833, 890, 764, 539

Given numbers are 200, 142, 270, 304
The greatest common divisor of numbers 200, 142, 270, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 142, 270, 304 is 2.

1. What is the GCD of 200, 142, 270, 304?

GCD of given numbers 200, 142, 270, 304 is 2

2. How to calculate the greatest common divisor of 200, 142, 270, 304?

We can find the highest common divisor of 200, 142, 270, 304 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, 142, 270, 304 i.e 2.

3. How can I use the GCD of 200, 142, 270, 304Calculator?

Out the numbers 200, 142, 270, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.