GCD of 723, 331, 420, 662 Calculator

Given Input numbers are 723, 331, 420, 662

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 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (723, 331, 420, 662) = 1.

Given numbers are 723, 331, 420, 662

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 331 are 331

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 662 are 2 x 331

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

Given numbers are 723, 331, 420, 662

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

Apply this formula for all numbers.

Step1:

LCM(723, 331) = 239313

GCD(723, 331) = ( 723 x 331 ) / 239313

= 723 / 331

= 723

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

= 1 / 662

= 1

So, Greatest Common Divisor of 723, 331, 420, 662 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 767, 987, 853
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Given numbers are 723, 331, 420, 662
The greatest common divisor of numbers 723, 331, 420, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 331, 420, 662 is 1.

1. What is the GCD of 723, 331, 420, 662?

GCD of given numbers 723, 331, 420, 662 is 1

2. How to calculate the greatest common divisor of 723, 331, 420, 662?

We can find the highest common divisor of 723, 331, 420, 662 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, 331, 420, 662 i.e 1.

3. How can I use the GCD of 723, 331, 420, 662Calculator?

Out the numbers 723, 331, 420, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.