GCD of 274, 144, 793, 813 Calculator

Given Input numbers are 274, 144, 793, 813

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

Divisors of 274 :

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

1, 2, 137, 274

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 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (274, 144, 793, 813) = 1.

Given numbers are 274, 144, 793, 813

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

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

Prime factors of 793 are 13 x 61

Prime factors of 813 are 3 x 271

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

Given numbers are 274, 144, 793, 813

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

Apply this formula for all numbers.

Step1:

LCM(274, 144) = 19728

GCD(274, 144) = ( 274 x 144 ) / 19728

= 274 / 144

= 274

Step2:

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

= 2 / 793

= 2

Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1

So, Greatest Common Divisor of 274, 144, 793, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 478, 222, 198
• GCD of 131, 147, 345, 936
• GCD of 916, 329, 347, 242
• GCD of 866, 964, 751, 609
• GCD of 656, 262, 233, 902

Given numbers are 274, 144, 793, 813
The greatest common divisor of numbers 274, 144, 793, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 144, 793, 813 is 1.

1. What is the GCD of 274, 144, 793, 813?

GCD of given numbers 274, 144, 793, 813 is 1

2. How to calculate the greatest common divisor of 274, 144, 793, 813?

We can find the highest common divisor of 274, 144, 793, 813 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 274, 144, 793, 813 i.e 1.

3. How can I use the GCD of 274, 144, 793, 813Calculator?

Out the numbers 274, 144, 793, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.