GCD of 505, 748, 723, 397 Calculator

Given Input numbers are 505, 748, 723, 397

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

GCD of numbers is the greatest common divisor

So, the GCD (505, 748, 723, 397) = 1.

Given numbers are 505, 748, 723, 397

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 723 are 3 x 241

Prime factors of 397 are 397

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

Given numbers are 505, 748, 723, 397

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

Apply this formula for all numbers.

Step1:

LCM(505, 748) = 377740

GCD(505, 748) = ( 505 x 748 ) / 377740

= 505 / 748

= 505

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

= 1 / 397

= 1

So, Greatest Common Divisor of 505, 748, 723, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 334, 882, 477
• GCD of 913, 876, 425, 738
• GCD of 148, 296, 784, 808
• GCD of 107, 175, 141, 388
• GCD of 518, 149, 480, 217

Given numbers are 505, 748, 723, 397
The greatest common divisor of numbers 505, 748, 723, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 748, 723, 397 is 1.

1. What is the GCD of 505, 748, 723, 397?

GCD of given numbers 505, 748, 723, 397 is 1

2. How to calculate the greatest common divisor of 505, 748, 723, 397?

We can find the highest common divisor of 505, 748, 723, 397 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 505, 748, 723, 397 i.e 1.

3. How can I use the GCD of 505, 748, 723, 397Calculator?

Out the numbers 505, 748, 723, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.