GCD of 723, 680, 753, 340 Calculator

Given Input numbers are 723, 680, 753, 340

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (723, 680, 753, 340) = 1.

Given numbers are 723, 680, 753, 340

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 753 are 3 x 251

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 723, 680, 753, 340

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

Apply this formula for all numbers.

Step1:

LCM(723, 680) = 491640

GCD(723, 680) = ( 723 x 680 ) / 491640

= 723 / 680

= 723

Step2:

LCM(1, 753) = 753

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

= 1 / 753

= 1

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 723, 680, 753, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 612, 672, 165
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• GCD of 748, 111, 434, 345

Given numbers are 723, 680, 753, 340
The greatest common divisor of numbers 723, 680, 753, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 680, 753, 340 is 1.

1. What is the GCD of 723, 680, 753, 340?

GCD of given numbers 723, 680, 753, 340 is 1

2. How to calculate the greatest common divisor of 723, 680, 753, 340?

We can find the highest common divisor of 723, 680, 753, 340 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, 680, 753, 340 i.e 1.

3. How can I use the GCD of 723, 680, 753, 340Calculator?

Out the numbers 723, 680, 753, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.