GCD of 200, 274, 48, 150 Calculator

Given Input numbers are 200, 274, 48, 150

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (200, 274, 48, 150) = 2.

Given numbers are 200, 274, 48, 150

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 274 are 2 x 137

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 200, 274, 48, 150 is 2.

Given numbers are 200, 274, 48, 150

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

Apply this formula for all numbers.

Step1:

LCM(200, 274) = 27400

GCD(200, 274) = ( 200 x 274 ) / 27400

= 200 / 274

= 200

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 200, 274, 48, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 405, 27, 383
• GCD of 605, 832, 39, 856
• GCD of 582, 597, 54, 924
• GCD of 387, 539, 27, 559
• GCD of 317, 307, 58, 999

Given numbers are 200, 274, 48, 150
The greatest common divisor of numbers 200, 274, 48, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 274, 48, 150 is 2.

1. What is the GCD of 200, 274, 48, 150?

GCD of given numbers 200, 274, 48, 150 is 2

2. How to calculate the greatest common divisor of 200, 274, 48, 150?

We can find the highest common divisor of 200, 274, 48, 150 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, 274, 48, 150 i.e 2.

3. How can I use the GCD of 200, 274, 48, 150Calculator?

Out the numbers 200, 274, 48, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.