GCD of 723, 308, 748, 703 Calculator

Given Input numbers are 723, 308, 748, 703

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

GCD of numbers is the greatest common divisor

So, the GCD (723, 308, 748, 703) = 1.

Given numbers are 723, 308, 748, 703

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 703 are 19 x 37

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

Given numbers are 723, 308, 748, 703

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

Apply this formula for all numbers.

Step1:

LCM(723, 308) = 222684

GCD(723, 308) = ( 723 x 308 ) / 222684

= 723 / 308

= 723

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

= 1 / 703

= 1

So, Greatest Common Divisor of 723, 308, 748, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 659, 764, 945
• GCD of 177, 179, 791, 732
• GCD of 425, 489, 921, 973
• GCD of 211, 946, 934, 110
• GCD of 654, 299, 942, 223

Given numbers are 723, 308, 748, 703
The greatest common divisor of numbers 723, 308, 748, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 308, 748, 703 is 1.

1. What is the GCD of 723, 308, 748, 703?

GCD of given numbers 723, 308, 748, 703 is 1

2. How to calculate the greatest common divisor of 723, 308, 748, 703?

We can find the highest common divisor of 723, 308, 748, 703 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 723, 308, 748, 703 i.e 1.

3. How can I use the GCD of 723, 308, 748, 703Calculator?

Out the numbers 723, 308, 748, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.