GCD of 150, 520, 998, 849 Calculator

Given Input numbers are 150, 520, 998, 849

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 849 :

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

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (150, 520, 998, 849) = 1.

Given numbers are 150, 520, 998, 849

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 998 are 2 x 499

Prime factors of 849 are 3 x 283

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

Given numbers are 150, 520, 998, 849

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

Apply this formula for all numbers.

Step1:

LCM(150, 520) = 7800

GCD(150, 520) = ( 150 x 520 ) / 7800

= 150 / 520

= 150

Step2:

LCM(10, 998) = 4990

GCD(10, 998) = ( 10 x 998 ) / 4990

= 10 / 998

= 10

Step3:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

So, Greatest Common Divisor of 150, 520, 998, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 260, 998, 788
• GCD of 548, 549, 440, 265
• GCD of 959, 644, 712, 115
• GCD of 431, 948, 966, 706
• GCD of 195, 298, 166, 338

Given numbers are 150, 520, 998, 849
The greatest common divisor of numbers 150, 520, 998, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 520, 998, 849 is 1.

1. What is the GCD of 150, 520, 998, 849?

GCD of given numbers 150, 520, 998, 849 is 1

2. How to calculate the greatest common divisor of 150, 520, 998, 849?

We can find the highest common divisor of 150, 520, 998, 849 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 150, 520, 998, 849 i.e 1.

3. How can I use the GCD of 150, 520, 998, 849Calculator?

Out the numbers 150, 520, 998, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.