GCD of 120, 381, 849, 200 Calculator

Given Input numbers are 120, 381, 849, 200

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 381, 849, 200) = 1.

Given numbers are 120, 381, 849, 200

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 381 are 3 x 127

Prime factors of 849 are 3 x 283

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 381, 849, 200

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

Apply this formula for all numbers.

Step1:

LCM(120, 381) = 15240

GCD(120, 381) = ( 120 x 381 ) / 15240

= 120 / 381

= 120

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

Step3:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3

So, Greatest Common Divisor of 120, 381, 849, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 938, 258, 998
• GCD of 513, 742, 338, 737
• GCD of 521, 595, 351, 338
• GCD of 335, 783, 508, 790
• GCD of 713, 498, 502, 397

Given numbers are 120, 381, 849, 200
The greatest common divisor of numbers 120, 381, 849, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 381, 849, 200 is 1.

1. What is the GCD of 120, 381, 849, 200?

GCD of given numbers 120, 381, 849, 200 is 1

2. How to calculate the greatest common divisor of 120, 381, 849, 200?

We can find the highest common divisor of 120, 381, 849, 200 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 120, 381, 849, 200 i.e 1.

3. How can I use the GCD of 120, 381, 849, 200Calculator?

Out the numbers 120, 381, 849, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.