GCD of 493, 345, 741, 131 Calculator

Given Input numbers are 493, 345, 741, 131

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (493, 345, 741, 131) = 1.

Given numbers are 493, 345, 741, 131

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 345 are 3 x 5 x 23

Prime factors of 741 are 3 x 13 x 19

Prime factors of 131 are 131

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

Given numbers are 493, 345, 741, 131

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

Apply this formula for all numbers.

Step1:

LCM(493, 345) = 170085

GCD(493, 345) = ( 493 x 345 ) / 170085

= 493 / 345

= 493

Step2:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 493, 345, 741, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 994, 547, 242
• GCD of 144, 711, 634, 123
• GCD of 664, 939, 116, 738
• GCD of 687, 117, 968, 166
• GCD of 381, 196, 179, 300

Given numbers are 493, 345, 741, 131
The greatest common divisor of numbers 493, 345, 741, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 345, 741, 131 is 1.

1. What is the GCD of 493, 345, 741, 131?

GCD of given numbers 493, 345, 741, 131 is 1

2. How to calculate the greatest common divisor of 493, 345, 741, 131?

We can find the highest common divisor of 493, 345, 741, 131 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 493, 345, 741, 131 i.e 1.

3. How can I use the GCD of 493, 345, 741, 131Calculator?

Out the numbers 493, 345, 741, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.