GCD of 353, 252, 745, 723 Calculator

Given Input numbers are 353, 252, 745, 723

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 723 :

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

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (353, 252, 745, 723) = 1.

Given numbers are 353, 252, 745, 723

The list of prime factors of all numbers are

Prime factors of 353 are 353

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 745 are 5 x 149

Prime factors of 723 are 3 x 241

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

Given numbers are 353, 252, 745, 723

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

Apply this formula for all numbers.

Step1:

LCM(353, 252) = 88956

GCD(353, 252) = ( 353 x 252 ) / 88956

= 353 / 252

= 353

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 723) = 723

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

= 1 / 723

= 1

So, Greatest Common Divisor of 353, 252, 745, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 774, 946, 941
• GCD of 896, 594, 746, 331
• GCD of 804, 406, 838, 760
• GCD of 811, 613, 381, 603
• GCD of 144, 788, 957, 391

Given numbers are 353, 252, 745, 723
The greatest common divisor of numbers 353, 252, 745, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 252, 745, 723 is 1.

1. What is the GCD of 353, 252, 745, 723?

GCD of given numbers 353, 252, 745, 723 is 1

2. How to calculate the greatest common divisor of 353, 252, 745, 723?

We can find the highest common divisor of 353, 252, 745, 723 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 353, 252, 745, 723 i.e 1.

3. How can I use the GCD of 353, 252, 745, 723Calculator?

Out the numbers 353, 252, 745, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.