GCD of 185, 849, 13, 742 Calculator

Given Input numbers are 185, 849, 13, 742

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

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (185, 849, 13, 742) = 1.

Given numbers are 185, 849, 13, 742

The list of prime factors of all numbers are

Prime factors of 185 are 5 x 37

Prime factors of 849 are 3 x 283

Prime factors of 13 are 13

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 185, 849, 13, 742

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

Apply this formula for all numbers.

Step1:

LCM(185, 849) = 157065

GCD(185, 849) = ( 185 x 849 ) / 157065

= 185 / 849

= 185

Step2:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 185, 849, 13, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 493, 75, 789
• GCD of 527, 964, 42, 435
• GCD of 195, 826, 26, 114
• GCD of 623, 758, 71, 731
• GCD of 730, 676, 26, 941

Given numbers are 185, 849, 13, 742
The greatest common divisor of numbers 185, 849, 13, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 185, 849, 13, 742 is 1.

1. What is the GCD of 185, 849, 13, 742?

GCD of given numbers 185, 849, 13, 742 is 1

2. How to calculate the greatest common divisor of 185, 849, 13, 742?

We can find the highest common divisor of 185, 849, 13, 742 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 185, 849, 13, 742 i.e 1.

3. How can I use the GCD of 185, 849, 13, 742Calculator?

Out the numbers 185, 849, 13, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.