GCD of 538, 345, 753, 313 Calculator

Given Input numbers are 538, 345, 753, 313

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 345 :

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

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (538, 345, 753, 313) = 1.

Given numbers are 538, 345, 753, 313

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 345 are 3 x 5 x 23

Prime factors of 753 are 3 x 251

Prime factors of 313 are 313

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

Given numbers are 538, 345, 753, 313

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

Apply this formula for all numbers.

Step1:

LCM(538, 345) = 185610

GCD(538, 345) = ( 538 x 345 ) / 185610

= 538 / 345

= 538

Step2:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 538, 345, 753, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 169, 615, 373
• GCD of 647, 645, 665, 417
• GCD of 668, 279, 720, 493
• GCD of 133, 174, 734, 175
• GCD of 255, 353, 386, 852

Given numbers are 538, 345, 753, 313
The greatest common divisor of numbers 538, 345, 753, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 345, 753, 313 is 1.

1. What is the GCD of 538, 345, 753, 313?

GCD of given numbers 538, 345, 753, 313 is 1

2. How to calculate the greatest common divisor of 538, 345, 753, 313?

We can find the highest common divisor of 538, 345, 753, 313 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 538, 345, 753, 313 i.e 1.

3. How can I use the GCD of 538, 345, 753, 313Calculator?

Out the numbers 538, 345, 753, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.