GCD of 849, 144, 238, 920 Calculator

Given Input numbers are 849, 144, 238, 920

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

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (849, 144, 238, 920) = 1.

Given numbers are 849, 144, 238, 920

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 238 are 2 x 7 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 849, 144, 238, 920

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

Apply this formula for all numbers.

Step1:

LCM(849, 144) = 40752

GCD(849, 144) = ( 849 x 144 ) / 40752

= 849 / 144

= 849

Step2:

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

= 3 / 238

= 3

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 849, 144, 238, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 509, 923, 964
• GCD of 622, 646, 739, 617
• GCD of 775, 214, 322, 576
• GCD of 386, 161, 511, 693
• GCD of 261, 500, 781, 938

Given numbers are 849, 144, 238, 920
The greatest common divisor of numbers 849, 144, 238, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 144, 238, 920 is 1.

1. What is the GCD of 849, 144, 238, 920?

GCD of given numbers 849, 144, 238, 920 is 1

2. How to calculate the greatest common divisor of 849, 144, 238, 920?

We can find the highest common divisor of 849, 144, 238, 920 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 849, 144, 238, 920 i.e 1.

3. How can I use the GCD of 849, 144, 238, 920Calculator?

Out the numbers 849, 144, 238, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.